Skip to main content
SpringerLink
Log in

Reduction of a pair of matrices over an adequate ring to a special triangular form by means of the same one-sided transformations

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

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

Literature cited

  1. O. Helmer, “The elementary divisor theorem for certain rings without chain conditions,” Bull. Am. Math. Soc.,49, 225–236 (1943).

    Google Scholar 

  2. P. S. Kazimirskii, Expansion of Polynomial Matrices by Multipliers [in Ukrainian], Naukova Dumka, Kiev (1981).

    Google Scholar 

  3. M. Newman, “On the Smith normal form,” J. Res. Nat. Bur. Standards,75B, 81–84 (1971).

    Google Scholar 

  4. B. V. Zabavskii and P. S. Kazimirskii, “The reduction of a pair of matrices over the domain of principal ideals to a triangular form with a Smith form along the main diagonal, by means of identical left-sided transformations,” in: Sixteenth All-Union Algebra Conference, Abstracts of Reports, Leningrad Branch, Academy of Sciences of the USSR (1981), p. 196.

Download references

Author information

Authors and Affiliations

  1. Institute for Applied Problems of Mechanics and Mathematics, Academy of Sciences of the Ukrainian SSR, Lvov

    B. V. Zabavskii & P. S. Kazimirskii

Authors
  1. B. V. Zabavskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. S. Kazimirskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 2, pp. 256–258, March–April, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zabavskii, B.V., Kazimirskii, P.S. Reduction of a pair of matrices over an adequate ring to a special triangular form by means of the same one-sided transformations. Ukr Math J 36, 233–235 (1984). https://doi.org/10.1007/BF01066962

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01066962

Keywords

Search

Navigation