Skip to main content
Springer Nature Link
Log in

Structure of a Munn semigroup of finite rank every stable order of which is fundamental or antifundamental

  • Published:
Ukrainian Mathematical Journal Aims and scope

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

We describe the structure of a Munn semigroup of finite rank every stable order of which is fundamental or antifundamental.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. W. D. Munn, “Fundamental inverse semigroups,” Quart. J. Math. Oxford, 21, 157–170 (1970).

    Article  MATH  MathSciNet  Google Scholar 

  2. M. Petrich, Inverse Semigroups, Wiley, New York (1984).

    MATH  Google Scholar 

  3. V. D. Derech, “Congruences of a permutable inverse semigroup of finite rank,” Ukr. Mat. Zh., 57, No. 4, 469–473 (2005).

    Article  MATH  MathSciNet  Google Scholar 

  4. V. D. Derech, “On permutable congruences on antigroups of finite rank,” Ukr. Mat. Zh., 56, No. 3, 346–351 (2004).

    Article  MATH  MathSciNet  Google Scholar 

  5. B. M. Schein, “Representation of ordered semigroups,” Mat. Sb., 65, No. 2, 188–197 (1964).

    MathSciNet  Google Scholar 

  6. S. M. Goberstein, “Fundamental order relations on inverse semigroups and on their generalizations,” Semigroup Forum, 21, 285–328 (1980).

    Article  MATH  MathSciNet  Google Scholar 

  7. A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups [Russian translation], Vols. 1, 2, Mir, Moscow (1972).

    MATH  Google Scholar 

  8. B. M. Schein, “Completions, translational hulls and ideal extensions of inverse semigroups,” Czech. Math. J., 23, 575–610 (1973).

    MathSciNet  Google Scholar 

  9. V. D. Derech, “On maximal stable orders on an inverse semigroup of finite rank with zero,” Ukr. Mat. Zh., 60, No. 8, 1035–1041 (2008).

    Article  MATH  MathSciNet  Google Scholar 

  10. V. D. Derech, “Structure of a permutable Munn semigroup of finite rank,” Ukr. Mat. Zh., 58, No. 6, 742–746 (2006).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Vinnytsya National Technical University, Vinnytsya, Ukraine

    V. D. Derech

Authors
  1. V. D. Derech
    View author publications

    You can also search for this author inPubMed Google Scholar

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 1, pp. 52–60, January, 2009.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Derech, V.D. Structure of a Munn semigroup of finite rank every stable order of which is fundamental or antifundamental. Ukr Math J 61, 57–70 (2009). https://doi.org/10.1007/s11253-009-0198-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-009-0198-9

Keywords