J Austral Math Soc Ser A 52 pp88--102, 1992.

Semigroups with Atomistic Congruence Lattices

Karl Auinger

(Received 24 January 1990)

Abstract

In this note a characterization of semigroups with atomistic congruence lattices, given for weakly reductive semigroups, is generalized to arbitrary semigroups. Also, it is shown that there is a complete congruence on the congruence lattice of such a semigroup that decomposes it into a disjoint union of intervals of the partition lattice.

1991 AMS Subject Classification: 20M10, 08A30

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Authors

Karl Auinger: Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria.

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Last Modified: Mon Feb 3 9:46:11 2003