Regular semigroups which are extensions of groups

Janet E. Mills

Vol. 41 (1972), No. 2, 303–306

DOI: 10.2140/pjm.1972.41.303

Abstract

A semigroup V is an (ideal) extension of a semigroup T by a semigroup ∕S with zero if T is an ideal of V and S is isomorphic to the Rees quotient V∕T. Considered here are those semigroups which can be constructed as an extension of a group by a 0-categorical regular semigroup. The multiplication in such a semigroup is determined, along with an abstract characterization of the semigroup.

Mathematical Subject Classification 2000

Primary: 20M10

Milestones

Received: 23 February 1971

Revised: 21 July 1971

Published: 1 May 1972