Skip to main content
SpringerLink
Log in

Some properties of E-m semigroups

  • Research Article
  • Published:
Semigroup Forum Aims and scope Submit manuscript

Abstract

In this note we study some properties of E-m semigroups, recently defined by Nordahl in [3]. In particular we study connections with power joined and strongly reversible semigroups. We prove, among other things, that an E-m semigroup is a disjoint union of power joined semigroups.

The second part of the paper deals with case m = 2, which presents interesting properties. For undefined terminology and notation the reader is referred to [2].

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. Chrislock, J. L.,On medial semigroups, Journal of Algebra 12, (1969), 1–9.

    Google Scholar 

  2. Clifford, A. H. and G. B. Preston,The algebraic theory of semigroups, Vol. 1, Amer. Math. Soc., Providence, (1961).

    Google Scholar 

  3. Nordahl, T.,Semigroups satisfying (xy)m=xmym, Semigroup Forum 8, (1974), 332–346.

    Google Scholar 

  4. Petrich, M.,Introduction to semigroups, Merrill Publishing Company, (1973).

  5. Putcha, M. S.,Band of t-Archimedean semigroups, Semigroup Forum 6, (1973), 232–239.

    Google Scholar 

  6. Spoletini Cherubini, A. e A. Varisco,Sui semigruppi fortemente reversibili archimedei, Istituto lombardo (Rend. Sc.) A 110, (1976), 313–321.

    Google Scholar 

  7. Spoletini Cherubini, A. e A. Varisco,Sui semigruppi fortemente reversibili separativi, Istituto lombardo (Rend. Sc.), to appear.

  8. Tamura, T.,Finite union of commutative power joined semigroups, Semigroup Forum 1, (1970), 75–83.

    Google Scholar 

  9. Tamura, T. and J. Shafer,On exponential semigroups I, Proc. Japan Acad. 48, (1972), 77–80.

    Google Scholar 

  10. Varisco, A.,Some remarks on E-msemigroups, Semigroup Forum 11, (1975/1976), 370–372.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Istituto di Matematica, Politecnico di Milano, 20123, Milano, Italia

    A. Cherubini Spoletini & A. Varisco

Authors
  1. A. Cherubini Spoletini
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Varisco
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by N.R. Reilly

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cherubini Spoletini, A., Varisco, A. Some properties of E-m semigroups. Semigroup Forum 17, 153–161 (1979). https://doi.org/10.1007/BF02194317

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02194317

Keywords

Search

Navigation