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On the lattice of congruences on an eventually regular semigroup

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

P. M. Edwards
P. M. Edwards
Affiliation:
Department of Econometrics Monash UniversityClayton, VictoriaAustralia3168
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Abstract

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A natural equivalence θ on the lattice of congruences λ(S) of a semigroup S is studied. For any eventually regular semigroup S, it is shown that θ is a congruence, each θ-class is a complete sublattice of λ(S) and the maximum element in each θ-class is determined. 1980 Mathematics subject classification (Amer. Math. Soc.): 20 M 10.

MSC classification

Secondary: 20M10: General structure theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 38 , Issue 2 , April 1985 , pp. 281 - 286
Copyright
Copyright © Australian Mathematical Society 1985

References

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