Skip to main content
SpringerLink
Log in

Endomorphisms of the Semigroup of Nonnegative Invertible Matrices of Order Two Over Commutative Ordered Rings

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

Abstract

Let R be a linearly ordered commutative ring with 1/2 generated by its invertible elements, G2(R) be the subsemigroup in GL2(R) consisting of all matrices with nonnegative elements. In this paper, we describe endomorphisms of the given semigroup.

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

References

  1. E. I. Bunina, “Automorphisms of the semigroup of nonnegative invertible matrices of the order two over partially ordered commutative rings,” Mat. Zametki, 91, No. 1, 3–12 (2011).

    MathSciNet  MATH  Google Scholar 

  2. E. I. Bunina and A. V. Mikhalev, “Automorphisms of the semigroup of invertible matrices with nonnegative elements,” J. Math. Sci., 142, No. 2, 1867–1882 (2007).

    Article  MathSciNet  Google Scholar 

  3. E. I. Bunina and A. V. Mikhalev, “Elementary equivalence of the semigroup of invertible matrices with nonnegative elements,” J. Math. Sci., 149, No. 2, 1063–1073 (2008).

    Article  MathSciNet  MATH  Google Scholar 

  4. E. I. Bunina and P. P. Semenov, “Automorphisms of the semigroup of invertible matrices with nonnegative elements over partially ordered rings,” J. Math. Sci., 162, No. 5, 633–655 (2009).

    Article  MathSciNet  MATH  Google Scholar 

  5. E. I. Bunina and P. P. Semenov, “Elementary equivalence of the semigroup of invertible matrices with nonnegative elements over partially ordered rings,” J. Math. Sci., 163, No. 5, 493–499 (2009).

    Article  MathSciNet  MATH  Google Scholar 

  6. A. V. Mikhalev and M. A. Shatalova, “Automorphisms and antiautomorphisms of the semigroup of matrices with nonnegative elements,” Mat. Sb., 81, No. 4, 600–609 (1970).

    MathSciNet  MATH  Google Scholar 

  7. V. V. Nemiro, “Endomorphisms of the semigroup of invertible nonnegative matrices over ordered noncommutative rings,” Fundam. Prikl. Mat., to appear.

  8. P. P. Semenov, “Automorphisms of the semigroup of nonnegative integral matrices,” Mat. Sb., 203, No. 9, 117–132 (2012).

    MathSciNet  Google Scholar 

  9. P. P. Semenov, “Endomorphisms of the semigroup of invertible nonnegative matrices over ordered rings,” J. Math. Sci., 193, No. 4, 591–600 (2013).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    E. Bunina & K. Sosov

Authors
  1. E. Bunina
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. Sosov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. Bunina.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 23, No. 4, pp. 39–53, 2021.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bunina, E., Sosov, K. Endomorphisms of the Semigroup of Nonnegative Invertible Matrices of Order Two Over Commutative Ordered Rings. J Math Sci 269, 469–478 (2023). https://doi.org/10.1007/s10958-023-06293-5

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-023-06293-5

Search

Navigation