Abundant Semigroups With Left Simplistic Adequate Transversals
Pei Wang · Advances in Mathematics · 2010
Left simplistic adequate transversals are introduced and investigated in this paper. Under the assumption that / is a band,some equivalent conditions for an adequate transversal to be left simplistic are obtained.An abundant semigroup with an adequate transversal to be L~*-unipotent are characterized.Under the assumption that the abundant semigroup satisfies the regularity condition,some equivalent conditions for an abundant semigroup with an adequate transversal to be locallyL~*-unipotent are obtained.