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On congruence compact monoids
- Source :
- Mathematika. 46:205-224
- Publication Year :
- 1999
- Publisher :
- Wiley, 1999.
-
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 ℐ 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.
Details
- ISSN :
- 20417942 and 00255793
- Volume :
- 46
- Database :
- OpenAIRE
- Journal :
- Mathematika
- Accession number :
- edsair.doi.dedup.....c4f883fb9845184ee94681edaa9585d8