ON AMENABLE RESTRICTED SEMIGROUP
Abstract
We study amenability of restricted semigroup using some classes of inverse semigroups such as Clifford and Brandt semigroups. We particularly show that for a Clifford semigroup $S=\cup_{1=1}^{n}G_{i}$ with a finite set of idempotent elements, an inverse semigroup $S$ is equivalent to a restricted semigroup $S_{r}$. It was equally shown that for a restricted semigroup $S_{r}=\cup_{i\in I} S_{i}$ where $S_{i}$ is a Brandt semigroup, the amenability of a restricted semigroup is equivalent to the amenability of a Brandt semigroup.References
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