Subsemigroups of completely simple semigroups
Anne Antonippillai, Francis J. Pastijn · Pacific Journal of Mathematics · 1992
A semigroup which is embeddable into a completely simple semigroup satisfies some weak cancellation laws (C).Conversely, if S is a semigroup which generates a variety which does not contain the variety of left regular bands nor the variety of right regular bands, then S is embeddable into a completely simple semigroup if it satisfies the laws (C).This result is used to characterize the subsemigroups of completely simple semigroups over nilpotent groups of class n .