JP Journal of Algebra, Number Theory and Applications
Volume 19, Issue 2, Pages 165 - 174
(December 2010)
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CHARACTERIZATIONS OF GROUP CONGRUENCES ON E-INVERSIVE SEMIGROUPS
Hengwu Zheng
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there exists
such that ax is 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.