%%% AAA
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ISSN = {0002-9327},
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}
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}
@unpublished{anderson:neams,
title = {{NAK} for {E}xt and Ascent of module structures},
author = {B. J. Anderson and S. Sather-Wagstaff},
note = {preprint (2012), \texttt{arXiv:1201.3039}},
}
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}
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MRNUMBER = {2462381},
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MRNUMBER = {1672015 (2000a:13037)},
MRREVIEWER = {Anna Guerrieri},
}
@PhdThesis {apassov:cdgm,
author = {Apassov, D.},
title = {Complexes and Differential Graded Modules},
school = {Lund University},
year = {1999},
PAGES = {55},
ISSN = {1404-0034},
}
@incollection {apassov:hddgr,
AUTHOR = {Apassov, D.},
TITLE = {Homological Dimensions over Differential Graded Rings},
BOOKTITLE = {Complexes and Differential Graded Modules},
SERIES = {Ph.D. thesis},
PAGES = {25--39},
PUBLISHER = {Lund University},
YEAR = {1999},
}
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PAGES = {v+252 pp. (not consecutively paged)},
MRCLASS = {14.50},
MRNUMBER = {0207702 (34 \#7517)},
}
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JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
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ISSN = {0073-8301},
MRCLASS = {14.05},
MRNUMBER = {0268188 (42 \#3087)},
MRREVIEWER = {H. Kurke},
}
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}
@book {atiyah:ica,
AUTHOR = {M.~F.~Atiyah and I.~G.~Macdonald},
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MRNUMBER = {0242802 (39 \#4129)},
MRREVIEWER = {J. A. Johnson},
}
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MRNUMBER = {0179211 (31 \#3460)},
MRREVIEWER = {A. Brumer},
}
@article {auslander:hdlr,
AUTHOR = {Auslander, M. and Buchsbaum, D. A.},
TITLE = {Homological dimension in local rings},
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YEAR = {1957},
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ISSN = {0002-9947},
MRCLASS = {18.0X},
MRNUMBER = {0086822 (19,249d)},
MRREVIEWER = {C. Chevalley},
}
@article {auslander:hdnr,
AUTHOR = {Auslander, M. and Buchsbaum, D. A.},
TITLE = {Homological dimension in {N}oetherian rings},
JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
FJOURNAL = {Proceedings of the National Academy of Sciences of the United
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MRCLASS = {09.3X},
MRNUMBER = {0075190 (17,705b)},
MRREVIEWER = {C. Chevalley},
}
@article {auslander:bgcr,
AUTHOR = {Auslander, M. and Goldman, O.},
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VOLUME = {97},
YEAR = {1960},
PAGES = {367--409},
ISSN = {0002-9947},
MRCLASS = {18.00 (16.00)},
MRNUMBER = {0121392 (22 \#12130)},
MRREVIEWER = {T. Nakayama},
}
@article {auslander:rtnr,
AUTHOR = {Auslander, M. and Buchsbaum, D. A.},
TITLE = {On ramification theory in noetherian rings},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {81},
YEAR = {1959},
PAGES = {749--765},
ISSN = {0002-9327},
MRCLASS = {16.00 (14.00)},
MRNUMBER = {0106929 (21 \#5659)},
MRREVIEWER = {M. Nagata},
}
@article {auslander:cm,
AUTHOR = {Auslander, M. and Buchsbaum, D. A.},
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YEAR = {1958},
PAGES = {625--657},
ISSN = {0003-486X},
MRCLASS = {13.00 (18.00)},
MRNUMBER = {0099978 (20 \#6414)},
MRREVIEWER = {M. Nagata},
}
@article {auslander:htmcma,
AUTHOR = {Auslander, M. and R.-O.\ Buchweitz},
TITLE = {The homological theory of maximal {C}ohen-{M}acaulay
approximations},
NOTE = {Colloque en l'honneur de Pierre Samuel (Orsay, 1987)},
JOURNAL = {M\'em. Soc. Math. France (N.S.)},
FJOURNAL = {M\'emoires de la Soci\'et\'e Math\'ematique de France.
Nouvelle S\'erie},
NUMBER = {38},
YEAR = {1989},
PAGES = {5--37},
ISSN = {0037-9484},
MRCLASS = {13C14 (13H10)},
MRNUMBER = {1044344 (91h:13010)},
MRREVIEWER = {Dieter Happel},
}
@article{auslander:lawlom,
author = {Auslander, M. and S.\ Ding and \O.\ Solberg},
title = {Liftings and Weak liftings of modules},
journal = {J. Algebra},
VOLUME = {156},
YEAR = {1993},
PAGES = {273--397},
MRNUMBER = {94d:16007},
}
@book {auslander:adgeteac,
AUTHOR = {Auslander, M. },
TITLE = {Anneaux de {G}orenstein, et torsion en alg\`ebre commutative},
SERIES = {S\'eminaire d'Alg\`ebre Commutative dirig\'e par Pierre
Samuel},
VOLUME = {1966/67},
PUBLISHER = {Secr\'etariat math\'ematique},
ADDRESS = {Paris},
YEAR = {1967},
PAGES = {69},
MRCLASS = {18.20 (13.00)},
MRNUMBER = {37 \#1435},
MRREVIEWER = {J. L. Fisher},
}
@book {auslander:smt,
AUTHOR = {Auslander, M. and M.\ Bridger},
TITLE = {Stable module theory},
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PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, R.I.},
YEAR = {1969},
PAGES = {146},
MRNUMBER = {42 \#4580},
}
@article {auslander:hdilr,
AUTHOR = {Auslander, M. and Buchsbaum, D. A.},
TITLE = {Homological dimension in local rings},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {85},
YEAR = {1957},
PAGES = {390--405},
MRCLASS = {18.0X},
MRNUMBER = {19,249d},
MRREVIEWER = {C. Chevalley},
}
@article {auslander:ufrlr,
AUTHOR = {Auslander, M. and Buchsbaum, D. A.},
TITLE = {Unique factorization in regular local rings},
JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
VOLUME = {45},
YEAR = {1959},
PAGES = {733--734},
MRCLASS = {16.00},
MRNUMBER = {0103906 (21 \#2669)},
MRREVIEWER = {M. Nagata},
}
@article {auslander:hdinr,
AUTHOR = {Auslander, M. and Buchsbaum, D. A.},
TITLE = {Homological dimension in {N}oetherian rings},
JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
VOLUME = {42},
YEAR = {1956},
PAGES = {36--38},
MRCLASS = {09.3X},
MRNUMBER = {17,705b},
MRREVIEWER = {C. Chevalley},
}
@incollection {avramov:ifr,
AUTHOR = {L.~L.~Avramov},
TITLE = {Infinite free resolutions},
BOOKTITLE = {Six lectures on commutative algebra (Bellaterra, 1996)},
SERIES = {Progr. Math.},
VOLUME = {166},
PAGES = {1--118},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1998},
MRNUMBER = {99m:13022},
}
@article {avramov:rrc1,
author = {L.~L.~Avramov and S.~B.~Iyengar and J.~Lipman},
TITLE = {Reflexivity and rigidity for complexes. {I}. {C}ommutative
rings},
JOURNAL = {Algebra Number Theory},
FJOURNAL = {Algebra \& Number Theory},
VOLUME = {4},
YEAR = {2010},
NUMBER = {1},
PAGES = {47--86},
ISSN = {1937-0652},
MRCLASS = {13D02 (13C15 13D05)},
MRNUMBER = {2592013},
DOI = {10.2140/ant.2010.4.47},
URL = {http://dx.doi.org/10.2140/ant.2010.4.47},
}
@article {avramov:ghcisca,
AUTHOR = {L.~L.~Avramov and S.~B.~Iyengar},
TITLE = {Gaps in {H}ochschild cohomology imply smoothness for
commutative algebras},
JOURNAL = {Math. Res. Lett.},
FJOURNAL = {Mathematical Research Letters},
VOLUME = {12},
YEAR = {2005},
NUMBER = {5-6},
PAGES = {789--804},
ISSN = {1073-2780},
MRCLASS = {13D03 (13D07)},
MRNUMBER = {2189239 (2006i:13028)},
MRREVIEWER = {Fran{\c{c}}ois Goichot},
}
@article {avramov:svcci,
AUTHOR = {Avramov, L. L. and Buchweitz, R.-O.},
TITLE = {Support varieties and cohomology over complete intersections},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {142},
YEAR = {2000},
NUMBER = {2},
PAGES = {285--318},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {13D07 (13C40)},
MRNUMBER = {1794064 (2001j:13017)},
MRREVIEWER = {David A. Jorgensen},
DOI = {10.1007/s002220000090},
URL = {http://dx.doi.org/10.1007/s002220000090},
}
@article {avramov:gahc,
AUTHOR = {L.~L.~Avramov and S.~B.~Iyengar},
TITLE = {Gorenstein Algebras and {H}ochschild Cohomology},
JOURNAL = {Michigan Math.\ J.},
FJOURNAL = {Michigan Mathematical Journal},
VOLUME = {57},
YEAR = {2008},
PAGES = {17--35},
}
@article {avramov:edcrcvct,
AUTHOR = {L.~L.~Avramov and R.-O.\ Buchweitz and
L.~M.~{\c{S}}ega},
TITLE = {Extensions of a dualizing complex by its ring: commutative
versions of a conjecture of {T}achikawa},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {201},
YEAR = {2005},
NUMBER = {1-3},
PAGES = {218--239},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {13D07 (13D25 13H10)},
MRNUMBER = {2158756 (2006e:13012)},
MRREVIEWER = {David A. Jorgensen},
}
@article {avramov:bsolrhoffd,
AUTHOR = {L.~L.~Avramov and H.-B.Foxby and J.\ Lescot},
TITLE = {Bass series of local ring homomorphisms of finite flat
dimension},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {335},
YEAR = {1993},
NUMBER = {2},
PAGES = {497--523},
MRNUMBER = {93d:13026},
}
@article{avramov:mwer,
author = {L.~L.~Avramov},
title = {Modules with extremal resolutions},
journal = {Math. Res. Lett.},
VOLUME = {3},
PAGES = {319--328},
year = {1996},
MRNUMBER = {97f:13020},
}
@article{avramov:aratc,
author = {L.~L.~Avramov and A.\ Martsinkovsky},
title = {Absolute, relative, and {T}ate cohomology of
modules of finite {G}orenstein dimension},
journal = {Proc. London Math. Soc. (3)},
VOLUME = {85},
year = {2002},
MRNUMBER = {2003g:16009},
pages = {393--440},
}
@article {avramov:rhafgd,
AUTHOR = {L.~L.~Avramov and H.-B.\ Foxby},
TITLE = {Ring homomorphisms and finite {G}orenstein dimension},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {75},
YEAR = {1997},
NUMBER = {2},
PAGES = {241--270},
MRNUMBER = {98d:13014},
}
@article {avramov:solh,
author = {L.~L.~Avramov and H.-B.\ Foxby and B.\ Herzog},
title = {Structure of local homomorphisms},
journal = {J. Algebra},
VOLUME = {164},
year = {1994},
pages = {124--145},
MRNUMBER = {95f:13029},
}
@incollection {avramov:tlg,
AUTHOR = {L.~L.~Avramov and S.\ Halperin},
TITLE = {Through the looking glass: a dictionary between rational
homotopy theory and local algebra},
BOOKTITLE = {Algebra, algebraic topology and their interactions
({S}tockholm, 1983)},
SERIES = {Lecture Notes in Math.},
VOLUME = {1183},
PAGES = {1--27},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1986},
MRCLASS = {55P62 (13D03)},
MRNUMBER = {846435 (87k:55015)},
MRREVIEWER = {Paul Selick},
DOI = {10.1007/BFb0075446},
URL = {http://dx.doi.org/10.1007/BFb0075446},
}
@article {avramov:dalp,
AUTHOR = {L.~L.~Avramov and H.-B.\ Foxby and S.\ Halperin},
TITLE = {Descent and ascent of local properties along homomorphisms of
finite flat dimension},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {38},
YEAR = {1985},
NUMBER = {2-3},
PAGES = {167--185},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {13H10 (13C15)},
MRNUMBER = {814175 (87b:13026)},
MRREVIEWER = {J.-P. Lafon},
}
@article {avramov:holh,
AUTHOR = {L.~L.~Avramov and S.\ Iyengar and C.\ Miller},
TITLE = {Homology over local homomorphisms},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {128},
YEAR = {2006},
NUMBER = {1},
PAGES = {23--90},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {13D02},
MRNUMBER = {2197067},
}
@article {avramov:lgh,
AUTHOR = {L.~L.~Avramov and H.-B.\ Foxby},
TITLE = {Locally {G}orenstein homomorphisms},
JOURNAL = {Amer. J. Math.},
VOLUME = {114},
YEAR = {1992},
NUMBER = {5},
PAGES = {1007--1047},
MRNUMBER = {1183530 (93i:13019)},
}
@article {avramov:lcih,
AUTHOR = {Avramov, L. L.},
TITLE = {Locally complete intersection homomorphisms and a conjecture
of {Q}uillen on the vanishing of cotangent homology},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {150},
YEAR = {1999},
NUMBER = {2},
PAGES = {455--487},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {13D03 (13H10 14M10)},
MRNUMBER = {1726700 (2001a:13024)},
MRREVIEWER = {Paul Roberts},
DOI = {10.2307/121087},
URL = {http://dx.doi.org/10.2307/121087},
}
@article{avramov:hdouc,
author = {L.~L.~Avramov and H.-B.\ Foxby},
title = {Homological dimensions of unbounded complexes},
journal = {J. Pure Appl. Algebra},
volume = {71},
year = {1991},
pages = {129--155},
MRNUMBER = {93g:18017},
}
@article {avramov:pmivpd,
AUTHOR = {L.~L.~Avramov and V.~N.~Gasharov and I.~V.~Peeva},
TITLE = {A periodic module of infinite virtual projective dimension},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {62},
YEAR = {1989},
NUMBER = {1},
PAGES = {1--5},
ISSN = {0022-4049},
CODEN = {JPAAA2},
MRCLASS = {13D99 (17B70 18G10)},
MRNUMBER = {1026870 (90m:13016)},
MRREVIEWER = {Liam O'Carroll},
}
@article {avramov:glh,
AUTHOR = {L.~L.~Avramov and H.-B.\ Foxby},
TITLE = {Gorenstein local homomorphisms},
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
VOLUME = {23},
YEAR = {1990},
NUMBER = {1},
PAGES = {145--150},
ISSN = {0273-0979},
CODEN = {BAMOAD},
MRCLASS = {13D03 (13D25 13H10)},
MRNUMBER = {1020605 (90k:13009)},
MRREVIEWER = {Yves F{\'e}lix},
DOI = {10.1090/S0273-0979-1990-15921-X},
URL = {http://dx.doi.org/10.1090/S0273-0979-1990-15921-X},
}
@article {avramov:cid,
AUTHOR = {L.~L.~Avramov and V.~N.~Gasharov and I.~V.~Peeva},
TITLE = {Complete intersection dimension},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {86},
YEAR = {1997},
PAGES = {67--114 (1998)},
ISSN = {0073-8301},
CODEN = {PMIHA6},
MRCLASS = {13D05 (13D25)},
MRNUMBER = {1608565 (99c:13033)},
MRREVIEWER = {Paul Roberts},
}
@incollection {avramov:glp,
AUTHOR = {L.~L.~Avramov and H.-B.\ Foxby},
TITLE = {Grothendieck's localization problem},
BOOKTITLE = {Commutative algebra: syzygies, multiplicities, and birational
algebra (South Hadley, MA, 1992)},
SERIES = {Contemp. Math.},
VOLUME = {159},
PAGES = {1--13},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRNUMBER = {1266174 (94m:13011)},
}
@article {avramov:cmporh,
AUTHOR = {L.~L.~Avramov and H.-B.\ Foxby},
TITLE = {Cohen-{M}acaulay properties of ring homomorphisms},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {133},
YEAR = {1998},
NUMBER = {1},
PAGES = {54--95},
ISSN = {0001-8708},
CODEN = {ADMTA4},
MRCLASS = {13H10 (13B10 14E40)},
MRNUMBER = {1492786 (99c:13043)},
MRREVIEWER = {Rafael H. Villarreal},
}
@unpublished{avramov:dgha,
title = {Differential graded homological algebra},
author = {L.~L.~Avramov and H.-B.\ Foxby and S.\ Halperin},
note = {in preparation},
}
%%% BBB
@article {bass:ktsa,
AUTHOR = {Bass, H.},
TITLE = {{$K$}-theory and stable algebra},
JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
Math\'ematiques},
NUMBER = {22},
YEAR = {1964},
PAGES = {5--60},
ISSN = {0073-8301},
MRCLASS = {18.20 (16.90)},
MRNUMBER = {0174604 (30 \#4805)},
MRREVIEWER = {J. F. Adams},
}
@article {bass:ugr,
AUTHOR = {Bass, H.},
TITLE = {On the ubiquity of {G}orenstein rings},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {82},
YEAR = {1963},
PAGES = {8--28},
ISSN = {0025-5874},
MRCLASS = {13.95 (16.00)},
MRNUMBER = {0153708 (27 \#3669)},
MRREVIEWER = {J. P. Jans},
}
@unpublished{behboodi,
title = {Zero divisor graphs for modules over commutative rings},
author = {M. Behboodi},
note = {J. Commut. Algebra, to appear},
}
@article {belshoff:nld,
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%%% CCC
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%%% DDD
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%%% EEE
@article {eilenberg:frha,
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@book {eisenbud:ca,
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@article {enochs:fdgipm,
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@article {enochs:gf,
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MRNUMBER = {1363858 (97c:16011)},
MRREVIEWER = {T. W. Hungerford},
}
@book {enochs:rha,
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@article {esmkhani:ghdac,
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MRNUMBER = {2290924},
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@book {evans:s,
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MRNUMBER = {811636 (87b:13001)},
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%%% FFF
@article {faith:ertplcm,
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@article {faridi:cmpsfmi,
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@article {faridi:stscm,
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}
@book {felix:rht,
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}
@article {flenner:1,
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@book {FHP,
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@book {fossum:dcgkd,
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@incollection {fossum:tfc,
AUTHOR = {Fossum, R.},
TITLE = {Tensor functors of complexes (d'apr\`es {N}ielsen)},
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VOLUME = {795},
PAGES = {291--318},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1980},
MRCLASS = {13D25},
MRNUMBER = {582084 (82a:13003)},
MRREVIEWER = {J.-P. Lafon},
}
@article {foxby:imufbc,
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JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {50},
YEAR = {1975},
PAGES = {23--27},
MRNUMBER = {0409439 (53 \#13194)},
}
@article {foxby:bcfm,
AUTHOR = {H.-B.\ Foxby},
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VOLUME = {15},
YEAR = {1979},
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CODEN = {JPAAA},
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MRNUMBER = {535182 (83c:13008)},
MRREVIEWER = {Hamid Rahbar-Rochandel},
}
@article {foxby:qpmcmr,
AUTHOR = {H.-B.\ Foxby},
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FJOURNAL = {Mathematische Nachrichten},
VOLUME = {66},
YEAR = {1975},
PAGES = {103--110},
ISSN = {0025-584X},
MRCLASS = {13H10},
MRNUMBER = {0376663 (51 \#12838)},
MRREVIEWER = {R. M. Fossum},
}
@incollection{foxby:daafuc,
author = {H.-B.\ Foxby and S.\ Iyengar},
title = {Depth and amplitude for unbounded complexes},
booktitle = {Commutative algebra. Interactions with Algebraic Geometry},
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VOLUME = {331},
PAGES = {119--137},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
year = {2003},
MRNUMBER = {2 013 162},
}
@article {foxby:ibcahtm,
AUTHOR = {H.-B.\ Foxby},
TITLE = {Isomorphisms between complexes with applications to the
homological theory of modules},
JOURNAL = {Math. Scand.},
FJOURNAL = {Mathematica Scandinavica},
VOLUME = {40},
YEAR = {1977},
NUMBER = {1},
PAGES = {5--19},
ISSN = {0025-5521},
MRCLASS = {14M10 (13H10)},
MRNUMBER = {0447269 (56 \#5584)},
MRREVIEWER = {S. L. Kleiman},
}
@article {foxby:mir,
AUTHOR = {H.-B.\ Foxby},
TITLE = {On the {$\mu ^{i}$} in a minimal injective resolution},
JOURNAL = {Math. Scand.},
FJOURNAL = {Mathematica Scandinavica},
VOLUME = {29},
YEAR = {1971},
PAGES = {175--186 (1972)},
ISSN = {0025-5521},
MRCLASS = {13C10},
MRNUMBER = {0309919 (46 \#9023)},
MRREVIEWER = {W. V. Vasconcelos},
}
@article {foxby:mir2,
AUTHOR = {H.-B.\ Foxby},
TITLE = {On the {$\mu \sp{i}$} in a minimal injective resolution. {II}},
JOURNAL = {Math. Scand.},
FJOURNAL = {Mathematica Scandinavica},
VOLUME = {41},
YEAR = {1977},
NUMBER = {1},
PAGES = {19--44},
ISSN = {0025-5521},
MRCLASS = {16A62},
MRNUMBER = {0476801 (57 \#16355)},
MRREVIEWER = {W. V. Vasconcelos},
}
@unpublished{foxby:hacr,
author = {H.-B.\ Foxby},
title = {Hyperhomological algebra \& commutative rings},
note = {lecture notes},
}
@article{foxby:cmfgidgr,
author = {H.-B.\ Foxby and A.~J.~Frankild},
TITLE = {Cyclic modules of finite {G}orenstein injective dimension and
{G}orenstein rings},
JOURNAL = {Illinois J. Math.},
FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {51},
YEAR = {2007},
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PAGES = {67--82 (electronic)},
ISSN = {0019-2082},
CODEN = {IJMTAW},
MRCLASS = {13D05 (13H10)},
MRNUMBER = {2346187 (2008i:13022)},
MRREVIEWER = {David A. Jorgensen},
}
@unpublished{foxby:unpub,
author = {H.-B.\ Foxby},
title = {},
note = {unpublished notes, 1987},
}
@article {foxby:gmarm,
AUTHOR = {H.-B.\ Foxby},
TITLE = {Gorenstein modules and related modules},
JOURNAL = {Math. Scand.},
VOLUME = {31},
YEAR = {1972},
PAGES = {267--284 (1973)},
MRNUMBER = {48 \#6094},
}
@article {foxby:dhfmoccmr,
AUTHOR = {H.-B.\ Foxby},
TITLE = {Duality homomorphisms for modules over certain
{C}ohen-{M}acaulay rings},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {132},
YEAR = {1973},
PAGES = {215--226},
ISSN = {0025-5874},
MRCLASS = {13H10},
MRNUMBER = {0327753 (48 \#6095)},
MRREVIEWER = {R. M. Fossum},
}
@article {foxby:mirufbc,
AUTHOR = {H.-B.\ Foxby and A.\ Thorup},
TITLE = {Minimal injective resolutions under flat base change},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {67},
YEAR = {1977},
NUMBER = {1},
PAGES = {27--31},
MRNUMBER = {56 \#11984},
}
@inproceedings {foxby:gdcmr,
AUTHOR = {H.-B.\ Foxby},
TITLE = {Gorenstein dimensions over {C}ohen-{M}acaulay rings},
BOOKTITLE = {Proceedings of the international conference on commutative algebra (W.\ Bruns, ed.)},
PAGES = {59--63},
PUBLISHER = {Universit\"{a}t Osnabr\"{u}ck},
YEAR = {1994},
}
@incollection {foxby:cim,
AUTHOR = {H.-B.\ Foxby},
TITLE = {Complexes of injective modules},
BOOKTITLE = {Commutative algebra: Durham 1981 (Durham, 1981)},
SERIES = {London Math. Soc. Lecture Note Ser.},
VOLUME = {72},
PAGES = {18--31},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {Cambridge},
YEAR = {1982},
MRCLASS = {13D25 (13C11)},
MRNUMBER = {693624 (85e:13023)},
}
@unpublished{sather:s2,
author = {A.~J.~Frankild and S.\ Sather-Wagstaff and A.~Taylor},
title = {Second symmetric powers of chain complexes},
note = {Bull. Iranian Math. Soc., to appear, \texttt{arXiv:math.AC/0809.0018v3}},
}
@article {frankild:rbsc,
author = {A.~J.~Frankild and S.\ Sather-Wagstaff and A.~Taylor},
TITLE = {Relations between semidualizing complexes},
JOURNAL = {J. Commut. Algebra},
FJOURNAL = {Journal of Commutative Algebra},
VOLUME = {1},
YEAR = {2009},
NUMBER = {3},
PAGES = {393--436},
MRCLASS = {13D02 (13D07 13H10)},
MRNUMBER = {2524860},
}
@article {frankild:rrhffd,
AUTHOR = {A.\ Frankild and S.\ Sather-Wagstaff},
TITLE = {Reflexivity and ring homomorphisms of finite flat dimension},
JOURNAL = {Comm. Algebra},
FJOURNAL = {Communications in Algebra},
VOLUME = {35},
YEAR = {2007},
NUMBER = {2},
PAGES = {461--500},
ISSN = {0092-7872},
CODEN = {COALDM},
MRCLASS = {13Cxx (13Dxx)},
MRNUMBER = {2294611},
}
@article {frankild:sdcms,
AUTHOR = {A.\ Frankild and S.\ Sather-Wagstaff},
TITLE = {The set of semidualizing complexes is a nontrivial metric
space},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {308},
YEAR = {2007},
NUMBER = {1},
PAGES = {124--143},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {13Dxx (54Cxx)},
MRNUMBER = {2290914},
}
@article {frankild:dcev,
author = {A.~J.~Frankild and S.\ Sather-Wagstaff},
TITLE = {Detecting completeness from {E}xt-vanishing},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {136},
YEAR = {2008},
NUMBER = {7},
PAGES = {2303--2312},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {13B35 (13D07 13D45)},
MRNUMBER = {2390496 (2009c:13016)},
MRREVIEWER = {Srikanth B. Iyengar},
}
@article{frankild:amsveem,
author = {A.~J.~Frankild and S.\ Sather-Wagstaff and R.~A.~Wiegand},
TITLE = {Ascent of module structures, vanishing of {E}xt, and extended
modules},
NOTE = {Special volume in honor of Melvin Hochster},
JOURNAL = {Michigan Math. J.},
FJOURNAL = {Michigan Mathematical Journal},
VOLUME = {57},
YEAR = {2008},
PAGES = {321--337},
ISSN = {0026-2285},
MRCLASS = {13D07},
MRNUMBER = {2492456},
}
@article {frankild:volh,
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JOURNAL = {Math. Z.},
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VOLUME = {244},
YEAR = {2003},
NUMBER = {3},
PAGES = {615--630},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {13D45 (13D07)},
MRNUMBER = {1992028 (2004d:13027)},
MRREVIEWER = {I-Chiau Huang},
}
@article{frankild:qcmpolh,
author = {A. Frankild},
title = {Quasi {C}ohen-{M}acaulay properties of local
homomorphisms},
journal = {J. Algebra},
VOLUME = {235},
year = 2001,
PAGES = {214--242},
MRNUMBER = {2001j:13023},
}
%%% GGG
@inproceedings {gabriel:frto,
AUTHOR = {Gabriel, P.},
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{O}nt., 1974), {P}aper {N}o. 10},
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PUBLISHER = {Carleton Univ.},
ADDRESS = {Ottawa, Ont.},
YEAR = {1974},
MRCLASS = {16A64 (14L10)},
MRNUMBER = {0376769 (51 \#12944)},
MRREVIEWER = {Frank J. Servedio},
}
@unpublished{gao:cidmi,
author = {Gao, S. and Zhu, M.},
title = {Computing Irreducible Decomposition of Monomial Ideals},
note = {preprint (2008), \texttt{arXiv:0811.3425v1}},
}
@article {gasharov:bpclr,
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FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {320},
YEAR = {1990},
NUMBER = {2},
PAGES = {569--580},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {13D05 (13H99)},
MRNUMBER = {967311 (90k:13011)},
MRREVIEWER = {J{\"u}rgen Herzog},
}
@book{gelfand:moha,
author = {S.~I.~Gelfand and Y.~I.~Manin},
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publisher = {Springer-Verlag, Berlin},
year = 1996,
MRNUMBER = {2003m:18001},
}
@article {gerko:sdc,
AUTHOR = {A.~A.~Gerko},
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FJOURNAL = {Illinois Journal of Mathematics},
VOLUME = {48},
YEAR = {2004},
NUMBER = {3},
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%%% HHH
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%%% III
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author = {D. Ingebretson and S.\ Sather-Wagstaff},
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note = {preprint (2011)}},
}
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MRCLASS = {16.90 (18.20)},
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MRREVIEWER = {J. P. Jans},
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MRNUMBER = {0169888 (30 \#131)},
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MRNUMBER = {58 \#27966},
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@article {iyengar:avtacnr,
AUTHOR = {S.\ Iyengar and H.\ Krause},
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MRNUMBER = {2262932 (2007h:16013)},
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%%% JJJ
@article {jensen:vl,
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PAGES = {iv+103},
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@unpublished{jorgensen:prnsm,
author = {D.~A.~Jorgensen and G.~J.~Leuschke and S.\ Sather-Wagstaff},
title = {Presentations of rings with non-trivial semidualizing modules},
note = {Collect. Math., to appear, \texttt{arXiv:math.AC/0905.0685v2}},
}
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FJOURNAL = {Algebras and Representation Theory},
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NUMBER = {2},
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ISSN = {1386-923X},
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%%% KKK
@article {kawasaki,
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author = {Kubik, B. and Leamer, M. J. and Sather-Wagstaff, S.},
title = {Homology of artinian and mini-max modules, {II}},
note = {in preparation},
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%%% LLL
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%%% MMM
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%%% NNN
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%%% OOO
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%%% PPP
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%%% RRR
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%%% SSS
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author = {P.\ Sahandi and T.\ Sharif and S.\ Yassemi},
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MRNUMBER = {2524867},
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MRNUMBER = {2437187},
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NUMBER = {1},
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MRNUMBER = {2346197},
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}
@unpublished{sather:lbnsc,
author = {S.\ Sather-Wagstaff},
title = {Lower bounds for the number of semidualizing complexes over a local ring},
note = {Math. Scand., to appear, \texttt{arXiv:math.AC/0801.4743v2}},
}
@unpublished{sather:sdm,
author = {S.\ Sather-Wagstaff},
title = {Semidualizing Modules},
note = {in preparation},
}
@article {sather:tate1,
AUTHOR = {S.\ Sather-Wagstaff and T.\ Sharif and D.\ White},
TITLE = {Tate cohomology with respect to semidualizing modules},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {324},
YEAR = {2010},
NUMBER = {9},
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CODEN = {JALGA4},
MRCLASS = {13D07 (13D02 18G25)},
MRNUMBER = {2684143},
DOI = {10.1016/j.jalgebra.2010.07.007},
URL = {http://dx.doi.org/10.1016/j.jalgebra.2010.07.007},
}
@incollection {sather:bnsc,
AUTHOR = {S.\ Sather-Wagstaff},
TITLE = {Bass numbers and semidualizing complexes},
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PAGES = {349--381},
PUBLISHER = {Walter de Gruyter, Berlin},
YEAR = {2009},
MRCLASS = {13D02 (13D05 13D07)},
MRNUMBER = {2640315},
}
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AUTHOR = {S.\ Sather-Wagstaff},
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@article{sather:mdium,
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MRNUMBER = {1822197 (2002d:13032)},
MRREVIEWER = {Ng{\^o} Vi{\^e}t Trung},
}
@article{sather:dicmr,
AUTHOR = {S.\ Sather-Wagstaff},
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JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
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MRNUMBER = {1867369 (2002h:13035)},
MRREVIEWER = {Elsa Zatini},
}
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AUTHOR = {Sazeedeh, R.},
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section functor},
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@incollection {sharp:msamaab,
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}
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SCHOOL = {University of Illinois at Urbana-Champaign},
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@unpublished{strooker:abism,
title = {{An Auslander-Buchsbaum identity for semidualizing modules}},
author = {J.\ Strooker},
note = {preprint (2006) \texttt{arXiv:math.AC/0611643v2}}
}
%%% TTT
@article {takahashi:hasm,
author = {R.\ Takahashi and D.\ White},
TITLE = {Homological aspects of semidualizing modules},
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MRCLASS = {16E10},
MRNUMBER = {2603458},
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@article {takahashi:ccmlrbfm,
AUTHOR = {R.\ Takahashi and Y.\ Yoshino},
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MRREVIEWER = {Irena Swanson},
}
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%%% VVV
@book {vasconcelos:dtmc,
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%%% WWW
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@unpublished{wiegand:gpu,
AUTHOR = {R.\ Wiegand},
title = {The guiding principle of the universe},
note = {discussions with Anders Frankild},
}
@article {white:gpdrsm,
author = {D.\ White},
TITLE = {Gorenstein projective dimension with respect to a
semidualizing module},
JOURNAL = {J. Commut. Algebra},
FJOURNAL = {Journal of Commutative Algebra},
VOLUME = {2},
YEAR = {2010},
NUMBER = {1},
PAGES = {111--137},
ISSN = {1939-0807},
MRCLASS = {13D02 (18G20)},
MRNUMBER = {2607104},
}
%%% XXX
@book {xu:fcm,
AUTHOR = {J.\ Xu},
TITLE = {Flat covers of modules},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1634},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1996},
PAGES = {x+161},
ISBN = {3-540-61640-3},
MRCLASS = {16D40 (13C11 16L30)},
MRNUMBER = {1438789 (98b:16003)},
MRREVIEWER = {M. Teply},
}
%%% YYY
@article {yassemi:gd,
AUTHOR = {S.\ Yassemi},
TITLE = {G-dimension},
JOURNAL = {Math. Scand.},
FJOURNAL = {Mathematica Scandinavica},
VOLUME = {77},
YEAR = {1995},
NUMBER = {2},
PAGES = {161--174},
MRNUMBER = {97d:13017},
}
@article {yekutieli:dcmedpgr,
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{P}icard group of a ring},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {60},
YEAR = {1999},
NUMBER = {3},
PAGES = {723--746},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {16D90 (18E30 18G10)},
MRNUMBER = {1753810 (2001i:16008)},
MRREVIEWER = {Ana Jerem{\'{\i}}as L{\'o}pez},
}
@article {yoshino,
AUTHOR = {Y.\ Yoshino},
TITLE = {The theory of {L}-complexes and weak liftings of complexes},
JOURNAL = {J. Algebra},
FJOURNAL = {Journal of Algebra},
VOLUME = {188},
YEAR = {1997},
NUMBER = {1},
MRNUMBER = {98i:13024},
PAGES = {144--183},
}