Skip to main content
Log in

Gorenstein injective and projective modules

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Auslander, M.: Anneaux de Gorenstein et torsion en algèbre commutative, séminaire d'algèbre commutative. Ecole Normale Supérieure de Jeunes Filles, Paris 1966/67

    Google Scholar 

  2. Auslander, M., Buchweitz, R.O.: Maximal Cohen-Macaulay approximations. Soc. Math. France, Mémoire38, 5–37 (1989)

    MATH  MathSciNet  Google Scholar 

  3. Auslander, M., Reiten, I.: Applications of contravariantly finite subcategories. Adv. Math.86, 111–152 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  4. Auslander, M., Smalø, S.O.: Preprojective modules over artin rings. J. Algebra66, 61–122 (1980)

    Article  MATH  MathSciNet  Google Scholar 

  5. Bass, H.: On the ubiquity of Gorenstein rings. Math. Z.82, 8–28 (1963)

    Article  MATH  MathSciNet  Google Scholar 

  6. Brown, K.S.: Cohomology of Groups, Springer-Verlag, New York, 1982

    MATH  Google Scholar 

  7. Cheatham, T., Enochs, E., Jenda, O.M.G.: The structure of injective covers of special modules. Israel J. Math.63, 237–242 (1988)

    MATH  MathSciNet  Google Scholar 

  8. Eilenberg, S., Moore, J.C.: Foundations of Relative Homological Algebra. A.M.S. Memoris No.55, A.M.S., Providence 1965

    Google Scholar 

  9. Eilenberg, S., Nakayama, T.: On the dimension of modules and algebras II. Nagoya Math. J.9, 1–16 (1955)

    MATH  MathSciNet  Google Scholar 

  10. Eisenbud, D.: Homological algebra on a complete intersection with an application to group representations. TAMS 260, 35–64 (1980)

    Article  MATH  MathSciNet  Google Scholar 

  11. Enochs, E.: Injective and flat covers, envelopes and resolvents, Israel J. Math.39 (3), 189–209 (1981)

    MATH  MathSciNet  Google Scholar 

  12. Enochs, E.: A modification of Grothendieck's spectral sequence. Nagoya Math. J.112, 53–61 (1988)

    MATH  MathSciNet  Google Scholar 

  13. Enochs, E., Bronstein, A., Herzog, I.: Homological algebra over quivers (in preparation.)

  14. Enochs, E., Jenda, O.: Balanced functors applied to modules. J. Algebra92 (2), 303–310 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  15. Enochs, E., Jenda, O.M.G.: Injective covers and resolutions. Proceedings of the Joint China-Japan Ring Theory Conference, Guilin, P.R.C. (1991)

  16. Enochs, E., Jenda, O.M.G., Xu, J.: Covers and envelopes over Gorenstein rings (submitted)

  17. Hilton, P.J.: Homotopy Theory and Duality. Gordon and Breach, New York, 1965

    Google Scholar 

  18. Iwanaga, Y.: On rings with finite self-injective dimension II. Tsukuba J. Math.4, 1, 107–113 (1980)

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Enochs, E.E., Jenda, O.M.G. Gorenstein injective and projective modules. Math Z 220, 611–633 (1995). https://doi.org/10.1007/BF02572634

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02572634

Keywords

Navigation