Skip to main content
SpringerLink
Log in

On hereditary rings and Boyle's conjecture

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. A. K. Boyle, Ph. D. Thesis, Rutgers University, New Brunswick 1971.

    Google Scholar 

  2. A. K. Boyle, Hereditary QI-rings. Trans. Amer. Math. Soc.192, 115–120 (1974).

    Google Scholar 

  3. H.Cartan and S.Eilesnberg, Homological Algebra. Princeton 1956.

  4. A. W. Chatters, The restricted minimum condition in Noetherian hereditary rings. J. London Math. Soc.4, 83–87 (1971).

    Google Scholar 

  5. J. H. Cozzens, Homological properties of the ring of differential polynomials. Bull. Amer. Math. Soc.76, 75–79 (1970).

    Google Scholar 

  6. C.Faith, Lectures on injeetive modules and quotient rings. Lect. Notes Math.49, New York-Heidelberg-Berlin 1967.

  7. C.Faith, Modules finite over endomorphism ring. In: Proc. Tulane Univ. Symp. Ring Theory, New Orleans 1971. Lect. Notes Math.246, pp. 145–190. New York-Berlin-Heidelberg 1972.

  8. C.Faith, Algebra: Rings, Modules, and Categories I. New York and Berlin 1973.

  9. A. W. Goldie, The structure of prime rings under ascending chain conditions. Proc. Lond. Math. Soc.8, 589–608 (1958).

    Google Scholar 

  10. A. W. Goldie, Semi-prime rings with maximum condition. Proc. Lond. Math. Soc.10, 201–220 (1960).

    Google Scholar 

  11. R. E. Johnson, The extended centralizer of a ring over a module. Proc. Amer. Math. Soc.2, 891–895 (1951).

    Google Scholar 

  12. B. R. Johnson andE. T. Wong, Quasi-injective modules and irreducible rings. J. London Math. Soc.36, 260–268 (1961).

    Google Scholar 

  13. A. Koehler, Quasi-projective covers and direct sums. Proc. Amer. Math. Soc.24, 655–658 (1970).

    Google Scholar 

  14. L. Lesieur etR. Ceoisot, Sur les anneaux premiers noethériens à gauche. Ann. Sci. École Norm. Sup.76, 161–183 (1959).

    Google Scholar 

  15. E. Matlis, Injective modules over noetherian rings. Pacific J. Math.8, 511–523 (1958).

    Google Scholar 

  16. G. O. Michler andO. E. Vellamayor, On rings whose simple modules are injective. J. Algebra25, 185–201 (1973).

    Google Scholar 

  17. A. J.Ornstein, Rings with restricted minimum condition. Rutgers Ph. D. Thesis 1967.

  18. Z. Papp, On algebraically closed modules. Publ. Math. Debrecen6, 311–327 (1959).

    Google Scholar 

  19. Y. Utumi, On quotient rings. Osaka Math. J.8, 1–18 (1956).

    Google Scholar 

  20. D. B. Webber, Ideals and modules of simple Noetherian hereditary rings. J. Algebra16, 239–242 (1970).

    Google Scholar 

Download references

Author information

Author notes

  1. Carl Faith

    Present address: Institute for Advanced Study, 08540, Princeton, New Jersy, USA

Authors and Affiliations

  1. Rutgers, The State University, 08903, New Brunswick, New Jersey, USA

    Carl Faith

Authors
  1. Carl Faith
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Faith, C. On hereditary rings and Boyle's conjecture. Arch. Math 27, 113–119 (1976). https://doi.org/10.1007/BF01224650

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01224650

Search

Navigation