On tensor products of rings and extension conjectures
David A. Jorgensen
Source: J. Commut. Algebra Volume 1, Number 4
(2009), 635-646.
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Permanent link to this document: http://projecteuclid.org/euclid.jca/1262962156
Digital Object Identifier: doi:10.1216/JCA-2009-1-4-635
Zentralblatt MATH identifier: 05673550
Mathematical Reviews number (MathSciNet): MR2575835
References
T. Araya and Y. Yoshino, Remarks on a depth formula, a grade inequality and a conjecture of Auslander, Comm. Algebra 26 (1998), 3793-3806.
Mathematical Reviews (MathSciNet): MR1647079
Zentralblatt MATH: 0906.13002
Digital Object Identifier: doi:10.1080/00927879808826375
M. Auslander, S. Ding and Ø. Solberg, Liftings and weak liftings of modules, J. Algebra 156 (1993), 273-317.
Mathematical Reviews (MathSciNet): MR1216471
Zentralblatt MATH: 0778.13007
Digital Object Identifier: doi:10.1006/jabr.1993.1076
M. Auslander and I. Reiten, On a generalized version of the Nakayama conjecture, Proc. Amer. Math. Soc. 52 (1975), 69-74.
Mathematical Reviews (MathSciNet): MR389977
Zentralblatt MATH: 0337.16004
Digital Object Identifier: doi:10.2307/2040102
JSTOR: links.jstor.org
L.L. Avramov, R.-O. Buchweitz and L.M. Şega, Extensions of a dualizing complex by its ring: Commutative versions of a conjecture of Tachikawa, J. Pure Appl. Algebra, to appear.
Mathematical Reviews (MathSciNet): MR2158756
Zentralblatt MATH: 1087.13010
Digital Object Identifier: doi:10.1016/j.jpaa.2004.12.029
W. Bruns and J. Herzog, Cohen-Macaulay rings, Cambridge Stud. Adv. Math. 39, Revised edition, Cambridge University Press, Cambridge, 1998.
Mathematical Reviews (MathSciNet): MR1251956
H. Cartan and S. Eilenberg, Homological Algebra, Princeton University Press, Princeton, NJ, 1956.
Mathematical Reviews (MathSciNet): MR77480
C. Huneke and D.A. Jorgensen, Symmetry in the vanishing of Ext over Gorenstein rings, Math. Scand. 93 (2003), 168-184.
Mathematical Reviews (MathSciNet): MR2009580
Zentralblatt MATH: 1062.13005
C. Huneke and G. Leuschke, On a conjecture of Auslander and Reiten, J. Algebra 275 (2004), 781-790.
Mathematical Reviews (MathSciNet): MR2052636
Zentralblatt MATH: 1096.13011
Digital Object Identifier: doi:10.1016/j.jalgebra.2003.07.018
C. Huneke, L.M. Şega and A. Vraciu, Vanishing of Ext and Tor over Cohen-Macaulay local rings, Illinois J. Math. 48 (2004), 295-317.
Mathematical Reviews (MathSciNet): MR2048226
Zentralblatt MATH: 1043.13006
Project Euclid: euclid.ijm/1258136185
F. Ischebeck, Eine Dualität zwischen den Funktoren Ext and Tor, J. Algebra 11 (1969), 510-531.
Mathematical Reviews (MathSciNet): MR237613
Digital Object Identifier: doi:10.1016/0021-8693(69)90090-8
H. Matsumura, Commutative ring theory, Cambridge Stud. Adv. Math, 8, Cambridge University Press, Cambridge, 1989.
Mathematical Reviews (MathSciNet): MR1011461
J. Rotman, An introduction to homological algebra, Academic Press, New York, 1979.
Mathematical Reviews (MathSciNet): MR538169
L.M. Şega, Vanishing of cohomology over Gorenstein rings of small codimension, Proc. Amer. Math. Soc. 131 (2003), 2313-2323.
Mathematical Reviews (MathSciNet): MR1974627
Zentralblatt MATH: 1017.13008
Digital Object Identifier: doi:10.1090/S0002-9939-02-06788-6
JSTOR: links.jstor.org
K. Watanabe, T. Ishikawa, S. Tachibana and K. Otsuka, On tensor products of Gorenstein rings, J. Math. Kyoto Univ. 9 (1969), 413-423.
Mathematical Reviews (MathSciNet): MR257062
Zentralblatt MATH: 0193.34804
Project Euclid: euclid.kjm/1250523903
Journal of Commutative Algebra
