Skip to main content
SpringerLink
Log in

Morita invariants for semigroups with local units

  • Published:
Monatshefte für Mathematik Aims and scope Submit manuscript

Abstract

In this paper we study Morita invariants for strongly Morita equivalent semigroups with local units of various kinds. Among others we prove that, under a certain condition of this kind, congruence lattices are preserved by strong Morita equivalence.

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. Anderson, F.W., Fuller, K.R.: Rings and categories of modules. In: Graduate Texts in Mathematics, vol. 13. Springer, New York (1974)

  2. Ánh P.N., Márki L.: Morita equivalence for rings without identity. Tsukuba J. Math. 11, 1–16 (1987)

    MathSciNet  MATH  Google Scholar 

  3. Chen Y.Q., Shum K.P.: Morita equivalence for factorisable semigroups. Acta Math. Sin. (English Ser.) 17, 437–454 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  4. Laan V.: Context equivalence of semigroups. Period. Math. Hung. 60, 81–94 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  5. Laan, V., Márki, L.: Strong Morita equivalence of semigroups with local units. J. Pure Appl. Algebra (to appear)

  6. Lawson M.V.: Morita equivalence of semigroups with local units. J. Pure Appl. Algebra 215, 455–470 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  7. Lawson M.V., Márki L.: Enlargements and coverings by Rees matrix semigroups. Monatsh. Math. 129, 191–195 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  8. Talwar S.: Morita equivalence for semigroups. J. Austral. Math. Soc. (Ser. A) 59, 81–111 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  9. Talwar S.: Strong Morita equivalence and a generalisation of the Rees theorem. J. Algebra 181, 371–394 (1996)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Tartu, Ülikooli 18, 50090, Tartu, Estonia

    Valdis Laan

  2. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, P.O. Box 127, 1364, Budapest, Hungary

    László Márki

Authors
  1. Valdis Laan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. László Márki
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to László Márki.

Additional information

Communicated by John S. Wilson.

V. Laan’s research was supported by the Estonian Science Foundation grant no. 8394 and Estonian Targeted Financing Project SF0180039s08. L. Márki was partially supported by the Hungarian National Foundation for Scientific Research grant no. NK72523. Mutual visits of the authors were made possible by the exchange agreement between the Estonian and the Hungarian Academies of Sciences.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Laan, V., Márki, L. Morita invariants for semigroups with local units. Monatsh Math 166, 441–451 (2012). https://doi.org/10.1007/s00605-010-0279-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00605-010-0279-8

Keywords

Mathematics Subject Classification (2010)

Search

Navigation