Skip to main content
SpringerLink
Log in

Congruence-Simple Semirings

  • Published:
Semigroup Forum Aims and scope Submit manuscript

Abstract

Several classes of congruence-simple semirings are characterized and various further examples are constructed. Among others, it is shown that every congruence-simple semiring fits into one of the following three classes: additively idempotent semirings, additively cancellative semirings, additively nil-semirings of index 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

Author information

Authors and Affiliations

  1. MFF UK, Sokolovska 83, Praha 8186 75, Czech Republic

    Robert El Bashir & Tomas Kepka

Authors
  1. Robert El Bashir
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tomas Kepka
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Robert El Bashir or Tomas Kepka.

Rights and permissions

Reprints and permissions

About this article

Cite this article

El Bashir, R., Kepka, T. Congruence-Simple Semirings. Semigroup Forum 75, 588–608 (2007). https://doi.org/10.1007/s00233-007-0725-7

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00233-007-0725-7

Keywords

Search

Navigation