The Isomorphism Theorem for Strictly π-regular Semigroups.

The structure theorem of strictly π-regular semigroups have been given by B.J. Yu in 1990. This structure generalized the structure theorem of a completely regular semigroup given by M. Petrich in 1974. In this paper we consider the isomorphism problem between two strictly π-regular semigroups. A necessary and sufficient condition for two strictly π-regular semigroups to be isomorphic is obtained. As a direct corollary of this result, we also obtain an isomorphism theorem for two completely regular semigroups to be isomorphic. [ABSTRACT FROM AUTHOR]