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Semigroup Forum

, Volume 65, Issue 2, pp 233–248 | Cite as

Certain congruences on E-inversive E-semigroups

  • Barbara WeipoltshammerEmail author
Research Article

Abstract

A semigroup S is called E-inversive if for every a ∈ S there exists x ∈ S such that ax is idempotent. S is called E-semigroup if the set of idempotents of S forms a subsemigroup. In this paper some special congruences on E-inversive E-semigroups are investigated, such as the least group congruence, a certain semilattice congruence, some regular congruences and a certain idempotent-separating congruence.

Keywords

Inverse Semigroup Maximal Element Regular Semigroup Regular Element Rectangular Band 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2002

Authors and Affiliations

  1. 1.SieghartskirchenAustria

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