In this paper, we introduce the definition of E-inversive E-semigroup with fuzzy φ-kernel normal systems. It is described that the fuzzy regular congruences on the E-inversive E-semigroup with fuzzy φ-kernel normal systems.
we present a characterization of arens regular semigroup algebras $ell^1(s)$, for a large class of semigroups. mainly, we show that if the set of idempotents of an inverse semigroup $s$ is finite, then $ell^1(s)$ is arens regular if and only if $s$ is finite.
We present a characterization of Arens regular semigroup algebras $\ell^1(S)$, for a large class of semigroups. Mainly, we show that if the set of idempotents of an inverse semigroup $S$ is finite, then $\ell^1(S)$ is Arens regular if and only if $S$ is finite.
The aim of this paper is to investigate the lattices of group fuzzy congruences and normal fuzzy subsemigroups on E-inversive semigroups. We prove that group fuzzy congruences and normal fuzzy subsemigroups determined each other in E-inversive semigroups. Moreover, we show that t