JP Journal of Algebra, Number Theory and Applications
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Abstract: A semigroup Swith non-empty set of idempotents is E-inversive
if for every there exists such that axis idempotent. The purpose of this paper is to characterize
group congruences on E-inversive
semigroups in terms of full and weakly self-conjugate subsemigroups. Several
equivalent expressions for any group congruence on E-inversive semigroups are given, and the congruence classes of any
group congruence are also described.
Keywords and phrases: E-inversive semigroup, group congruence, full, weakly self-conjugate subsemigroup.
