Certain congruences on E-inversive E-semigroups
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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.
KeywordsInverse Semigroup Maximal Element Regular Semigroup Regular Element Rectangular Band
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