Journal of the Australian Mathematical Society (Series A)

Table of Contents - 1985 - Volume 38, Issue 02  

Research Article

On the lattice of congruences on an eventually regular semigroup

P. M. Edwardsa1

a1 Department of Econometrics Monash University Clayton, Victoria Australia 3168

Abstract

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.

(Received August 19 1983)

1980 Mathematics subject classification (Amer. Math. Soc.)

  • 20 M 10