Skip to main content
SpringerLink
Log in

Compatible total orders on ω-regular semigroups

  • RESEARCH ARTICLE
  • Published:
Semigroup Forum Aims and scope Submit manuscript

Abstract

In this paper we describe explicitly the compatible total orders on ω-regular semigroups.

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. Blyth, T.S.: On the greatest isotone homomorphic image of an inverse semigroup. J. Lond. Math. Soc. (2) 1, 260–264 (1969)

    Article  MATH  MathSciNet  Google Scholar 

  2. Howie, J.M.: Fundamentals of Semigroup Theory. Clarendon, Oxford (1995)

    MATH  Google Scholar 

  3. Kočin, B.P.: The structure of inverse ideally simple ω-semigroups. Vestn. Leningr. Univ. 23(7), 41–50 (1968)

    Google Scholar 

  4. Lawson, M.V.: Inverse Semigroups—The Theory of Partial Symmetries. World Scientific, Singapore (1998)

    Book  MATH  Google Scholar 

  5. McAlister, D.B.: Compatible orders on the bicyclic semigroup. Comun. Algebra 27, 9 (1999)

    MathSciNet  Google Scholar 

  6. McAlister, D.B.: Semilattice ordered inverse semigroups. In: André, J.M., Fernandes, V.H., Branco, M.J. (eds.) Semigroups and Formal Languages. World Scientific, Singapore (2007)

    Google Scholar 

  7. McAlister, D.B., Medeiros, P.J.: Compatible total orders on bisimple inverse ω-semigroups. Semigroup Forum 81, 200–216 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  8. Munn, W.D.: Regular ω-semigroups. Galsgow Math. Journal 9, 46–66 (1967)

    Article  MathSciNet  Google Scholar 

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

    MATH  Google Scholar 

  10. Saitô, T.: Ordered inverse semigroups. Trans. Am. Math. Soc. 153, 99–138 (1971)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL, 60115, USA

    Donald B. McAlister

  2. Centro de Álgebra da Universidade de Lisboa (CAUL), Av. Prof. Gama Pinto 2, 1649-003, Lisboa, Portugal

    Donald B. McAlister

  3. Departamento de Matemática, Universidade dos Açores, Apartado 1422, 9501-801, Ponta Delgada, Portugal

    Paulo J. Medeiros

  4. CAUL, Lisbon, Portugal

    Paulo J. Medeiros

Authors
  1. Donald B. McAlister
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Paulo J. Medeiros
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Paulo J. Medeiros.

Additional information

Communicated by Gracinda Gomes.

Dedicated to the memory of John M. Howie.

This work was developed within the projects PTDC/MAT/69514/2006 “ Semigroups and Languages” and POCTI-ISFL-1-143 “Álgebra Fundamental e Aplicada” of Centro de Álgebra da Universidade de Lisboa, financed by FCT and FEDER. The first author is also supported by FLAD under grant 071/2008.

Rights and permissions

Reprints and permissions

About this article

Cite this article

McAlister, D.B., Medeiros, P.J. Compatible total orders on ω-regular semigroups. Semigroup Forum 89, 217–235 (2014). https://doi.org/10.1007/s00233-013-9514-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00233-013-9514-7

Keywords

Search

Navigation