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http://dx.doi.org/10.4134/CKMS.2012.27.4.689

E-INVERSIVE *-SEMIGROUPS  

Wang, Shoufeng (School of Mathematics Yunnan Normal University)
Li, Yinghui (Department of Mathematics Kunming College)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.4, 2012 , pp. 689-699 More about this Journal
Abstract
(S, *) is a semigroup S equipped with a unary operation "*". This work is devoted to a class of unary semigroups, namely E-$inversive$ *-$semigroups$. A unary semigroup (S, *) is called an E-inversive *-semigroup if the following identities hold: $$x^*xx^*=x^*$$, $$(x^*)^*=xx^*x$$, $$(xy)^*=y^*x^*$$. In this paper, E-inversive *-semigroups are characterized by several methods. Furthermore, congruences on these semigroups are also studied.
Keywords
E-inversive *-semigroups; wp-systems; congruences;
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