Skip to main content
SpringerLink
Log in

To the problem of multiplicativity of canonical diagonal forms of matrices over the domain of principal ideals

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We study the structure of nonsingular matrices over the domain of principal ideals that possess the property of multiplicativity of canonical diagonal forms. In particular, we establish necessary and sufficient conditions of multiplicativity of canonical diagonal forms of nonsingular matrices over this domain.

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. P. M. Cohn,Free Rings and Their Relations, Academic Press, London (1971).

    Google Scholar 

  2. M. Newman,Integral Matrices, Academic Press, New York (1972).

    Google Scholar 

  3. V. M. Prokip, “On the multiplicativity of canonical diagonal forms of matrices,”Izv. Vyssh. Uchebn. Zaved., Ser. Mat., No. 7, 60–62 (1992).

    Google Scholar 

  4. C. C. MacDuffee,The Theory of Matrices, Chelsea, New York (1959).

    Google Scholar 

  5. Z. I. Borevich, “On factorization of matrices over the ring of principal ideals,” in:Abstracts of III All-Union Symposium on the Theory of Rings, Algebras, and Modules [in Russian], Tartu (1976), p. 19.

Download references

Author information

Authors and Affiliations

  1. Institute of Applied Problems in Mathematics and Mechanics, Ukrainian Academy of Sciences, Lvov

    V. M. Prokip

Authors
  1. V. M. Prokip
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 11, pp. 1581–1584, November, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Prokip, V.M. To the problem of multiplicativity of canonical diagonal forms of matrices over the domain of principal ideals. Ukr Math J 47, 1806–1810 (1995). https://doi.org/10.1007/BF01057930

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01057930

Keywords

Search

Navigation