E-INVERSIVE *-SEMIGROUPS

Title & Authors
E-INVERSIVE *-SEMIGROUPS
Wang, Shoufeng; Li, Yinghui;

Abstract
(S, *) is a semigroup S equipped with a unary operation "*". This work is devoted to a class of unary semigroups, namely E-$\small{inversive}$ *-$\small{semigroups}$. A unary semigroup (S, *) is called an E-inversive *-semigroup if the following identities hold: $\small{x^*xx^*=x^*}$, $\small{(x^*)^*=xx^*x}$, $\small{(xy)^*=y^*x^*}$. 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;
Language
English
Cited by
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