Skip to main content
SpringerLink
Log in

Noncommutative elementary divisor rings

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

We study the maximally non-principal ideals of noncommutative Bézout rings. We describe new classes of noncommutative elementary divisor rings.

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

Similar content being viewed by others

Literature cited

  1. B. V. Zabavskii, “On noncommutative elementary divisor rings,”Ukr. Mat. Zh.,39, No. 4, 440–444 (1987).

    Google Scholar 

  2. P. M. Cohn,Free Rings and their Relations, Academic Press, London (1985).

    Google Scholar 

  3. I. Kaplansky, “Elementary divisors and modules,”Trans. Amer. Math. Soc,66, 464–491 (1949).

    Google Scholar 

  4. M. Larsen, W. Lewis, and T. Shores, “Elementary divisor rings and finitely presented modules,”Trans. Amer. Math. Soc.,187, 231–248 (1974).

    Google Scholar 

Download references

Authors
  1. A. I. Gatalevich
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. V. Zabavs'kii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 4, 1997, pp. 86–90.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gatalevich, A.I., Zabavs'kii, B.V. Noncommutative elementary divisor rings. J Math Sci 96, 3013–3016 (1999). https://doi.org/10.1007/BF02169697

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02169697

Keywords

Search

Navigation