Vol. 39, No. 1, 1971

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A semilattice decomposition into semigroups having at most one idempotent

Mohan S. Putcha and Julian Weissglass

Vol. 39 (1971), No. 1, 225–228
Abstract

A semigroup S is said to be viable if ab = ba whenever ab and ba are idempotents. The main theorem of this article proves in part that S is a viable semigroup if and only if S is a semi-lattice of P-indecomposable semigroups having at most one idempotent.

Mathematical Subject Classification 2000
Primary: 20M10
Milestones
Received: 31 October 1970
Published: 1 October 1971
Authors
Mohan S. Putcha
Julian Weissglass