Document Type

Article

Publication Date

6-1999

Department

Mathematics

Abstract

A universal algebra is called congruence compact if every family of congruence classes with the finite intersection property has a non-empty intersection. This paper determines the structure of all right congruence compact monoids S for which Green’s relations J and H coincide. The results are thus sufficiently general to describe, in particular, all congruence compact commutative monoids and all right congruence compact Clifford inverse monoids.

Comments

This article was originally published in Mathematika, 46(1): 205-224. (c) 1999 University College London

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