Please check captured article title, if appropriate."/> Skip to main content
SpringerLink
Log in

Formulas for Calculation of Regular Elements of the Semigroups B X (D) Defined by Semilattices of the Class Σ1(X, 5)

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

Abstract

In the present paper, a necessary and sufficient condition for an element of the semigroup B X (D) defined by semilattices of the class Σ1(X, 5) to be regular is given. Moreover, formulas for calculation of regular elements are derived.

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. Z. Avaliani, “The idempotent elements of complete semigroups of binary relations defined by semilattices of the class,” Bull. Georgian Acad. Sci., 164, No. 2, 223–224 (2001).

    MATH  MathSciNet  Google Scholar 

  2. Z. Avaliani, “The idempotent elements of complete semigroups of binary relations defined by semilattices of the class,” Bull. Georgian Acad. Sci., 164, No. 3, 440–442 (2001).

    MATH  MathSciNet  Google Scholar 

  3. Z. Avaliani, “Regular elements of complete semigroups of binary relations defined by semilattices of the class,” Bull. Georgian Acad. Sci., 165, No. 2, 254–255 (2002).

    MATH  MathSciNet  Google Scholar 

  4. Z. Avaliani, “Number of regular elements of complete semigroups of binary relations defined by semilattices of the class,” Bull. Georgian Acad. Sci., 165, No. 3, 472–473 (2002).

    MATH  MathSciNet  Google Scholar 

  5. I. Ya. Diasamidze, Complete Semigroups of Binary Relations [in Russian], Batumi (2000).

  6. Ya. Diasamidze, Sh. Makharadze, and N. Rokva, “On XI-semilattices of unions,” Bull. Georgian Natl. Acad. Sci. (N.S.), 2, No. 1, 16–24 (2008)

    MATH  MathSciNet  Google Scholar 

  7. Ya. Diasamidze, Sh. Makharadze, N. Rokva, and I. Diasamidze, “Complete semigroups of binary relations whose set of regular elements is a semigroup,” Bull. Georgian Natl. Acad. Sci. (N.S.), 2, No. 2, 17–23 (2008)

Download references

Author information

Authors and Affiliations

  1. Shota Rustaveli Batumi State University, Batumi, Georgia

    Z. Avaliani

Authors
  1. Z. Avaliani
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. Algebra and Topology, 91, 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Avaliani, Z. Formulas for Calculation of Regular Elements of the Semigroups B X (D) Defined by Semilattices of the Class Σ1(X, 5). J Math Sci 211, 3–12 (2015). https://doi.org/10.1007/s10958-015-2598-8

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-015-2598-8

Keywords

Search

Navigation