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Original Articles

Gorenstein Injective Envelopes of Artinian Modules

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Pages 4635-4643 | Received 07 Oct 2012, Published online: 23 May 2014

REFERENCES

  • Belshoff , R. , Enochs , E. ( 2004 ). The Gorenstein injective envelope of the residue field of a local ring . Comm. Algebra 32 ( 2 ): 599 – 607 .
  • Christensen , L. W. , Foxby , H-B. , Holm , H. ( 2011 ). Beyond totally reflexive modules and back: A survay on Gorenstein dimensions. Commutative Algebra-Noetherian and Non-Noetherian Perspectives. New York: Springer, pp. 101–143 .
  • Christensen , L. W. , Frankild , A. , Holm , H. ( 2006 ). On Gorenstein projective, injective and flat dimensions—a functorial description with applications. J. Algebra 302(1): 231–279 .
  • Christensen , L. W. , Holm , H. ( 2009 ). Ascent properties of Auslander categories . Canad. J. Math. 61 ( 1 ): 76 – 108 .
  • Christensen , L. W. , Sather-Wagstaff , S. ( 2010 ). Transfer of Gorenstein dimensions along ring homomorphisms . J. Pure Appl. Algebra 214 ( 6 ): 982 – 989 .
  • Divaani-Aazar , K. ( 2009 ). Vanishing of the top local cohomology modules over Noetherian rings . Proc. Indian Acad. Sci. Math. Sci. 119 ( 1 ): 23 – 35 .
  • Enochs , E. E. , Jenda , O. M. G. ( 2000 ). Relative Homological Algebra . de Gruyter Expositions in Mathematics , Vol. 30. Berlin : Walter de Gruyter & Co .
  • Enochs , E. E. , López-Ramos , J. A. ( 2002 ). Kaplansky classes . Rend. Sem. Mat. Univ. Padova 107 : 67 – 79 .
  • Holm , H. ( 2004 ). Gorenstein homological dimensions. J. Pure Appl. Algebra 189(1–3): 167–193 .
  • Krause , H. ( 2005 ). The stable derived category of a noetherian scheme . Compos. Math. 141 ( 5 ): 1128 – 1162 .
  • Sazeedeh , R. ( 2010 ). Gorenstein injectivity of the section functor . Forum Math. 22 ( 6 ): 1117 – 1127 .
  • Sharp , R. Y. ( 1992 ). Artinian modules over commutative rings . Math. Proc. Cambridge Philos. Soc. 111 ( 1 ): 25 – 33 .
  • Takahashi , R. ( 2004 ). On the category of modules of Gorenstein dimension zero II . J. Algebra 278 ( 1 ): 402 – 410 .
  • Takahashi , R. ( 2005 ). On the category of modules of Gorenstein dimension zero . Math. Z. 251 ( 2 ): 249 – 256 .
  • Communicated by V. Walther.

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