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Original Articles

Sequentially Reflexive Modules

Pages 4573-4587 | Received 01 Jun 2003, Published online: 31 Aug 2006

References

  • Anderson , F. D. and Fuller , K. R. 1992 . Rings and Categories of Modules , 2nd Springer . GTM 13
  • Bruns , W. and Herzog , J. 1993 . Cohen–Macaulay rings , Cambridge Studies in Advanced Mathematics, 39 Cambridge University Press .
  • Cartan , H. and Eilenberg , S. 1956 . Homological Algebra Princeton , N.J. : Princeton University Press .
  • Colby , R. R. 1989 . A generalization of Morita duality and the tilting theorem . Comm. Algebra , 17 ( 7 ) : 1709 – 1722 .
  • Enochs , E. E. and Jenda , O. M. G. 2000 . Relative Homological Algebra , de Gruyter Exp. in Math. 30 Berlin-New York : Water de Gruyter .
  • Fossum , R. M. , Griffith , P. A. and Reiten , I. 1975 . Trivial Extensions of Abelian Categories , LNM 456 Springer .
  • Fuller , K. R. 2000 . Ring extensions and duality . Contemp. Math. , 259 : 213 – 222 .
  • Herzog , J. and Sbarra , E. 2002 . “ Sequentially Cohen–Macaulay modules and local cohomology ” . In Algebra, Arithmetic and Geometry, Part I, II (Mumbai 2000) , Tata Inst. Fund. Res. Stud. Math. 16 327 – 340 . Bombay : Tata Inst. Fund. Res. .
  • Iwanaga , Y. 1979 . On rings with finite self-injective dimension . Comm. Algebra , 7 ( 4 ) : 393 – 414 .
  • Iwanaga , Y. 1980 . On rings with finite self-injective dimension II . Tsukuba J. Math. , 4 : 107 – 113 .
  • Miyashita , Y. 1986 . Tilting modules of finite projective dimension . Math. Z. , 193 : 113 – 146 .
  • Rotman , J. J. 1979 . An Introduction to Homological Algebra Academic Press .
  • Stanley , R. P. 1996 . Combinatorics and Commutative Algebra , 2nd Boston : Birkhäuser . Progress in Mathematics, 41
  • Tonolo , A. 2000 . Generalizing Morita duality: A homological approach . J. Algebra , 232 : 282 – 298 .
  • Zaks , A. 1969 . Injective dimension of semi-primary rings . J. Algebra , 13 : 73 – 86 .
  • #Communicated by A. Facchini.

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