Skip to main content
SpringerLink
Log in

Endomorphisms of semigroups of invertible nonnegative matrices over ordered rings

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

Abstract

Let R be a linearly ordered commutative ring with 1/2 and G n (R) be the subsemigroup of GL n (R) consisting of matrices with nonnegative elements. In this paper, we describe endomorphisms of this semigroup for n ≥ 3.

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 order two over partially ordered commutative rings,” Mat. Zametki, 91, No. 1, 3–12 (2011).

    Article  Google Scholar 

  2. E. I. Bunina and A. V. Mikhalev, “Elementary equivalence of the semigroup of invertible matrices with nonnegative elements,” Fundam. Prikl. Mat., 12, No. 2, 39–53 (2006).

    MathSciNet  Google Scholar 

  3. 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 

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

    Article  MathSciNet  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  Google Scholar 

  7. P. P. Semenov, “Automorphisms of the semigroup of invertible matrices with nonnegative integer elements,” Mat. Sb., 203, No. 9, 117–132 (2012).

    Article  Google Scholar 

  8. P. P. Semenov, “Endomorphisms of the semigroups of invertible matrices with nonnegative elements over ordered fields,” Vestn. Mosk. Univ. Ser. 1 Mat. Mekh., to appear.

Download references

Author information

Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    P. P. Semenov

Authors
  1. P. P. Semenov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to P. P. Semenov.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 17, No. 5, pp. 165–178, 2011/12.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Semenov, P.P. Endomorphisms of semigroups of invertible nonnegative matrices over ordered rings. J Math Sci 193, 591–600 (2013). https://doi.org/10.1007/s10958-013-1486-3

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-013-1486-3

Keywords

Search

Navigation