If S is a regular semigroup then an inverse transversal of S is an inverse subsemigroup S° that contains precisely one inverse x° of each x ∈ S. Here we describe, for every congruence π on S° that can be extended to S, the smallest extension of π. We also describe the idempotent separating congruences on S.
|Number of pages||10|
|Journal||Communications in Algebra|
|Publication status||Published - 1 Dec 1998|