Abstract
AbstractA completely regular semigroup is a semigroup which is a union of groups. The class CR of completely regular semigroups forms a variety. On the latticeL(CR) of completely regular semigroup varieties we define two closure operations which induce complete congruences. The consideration of a third complete congruence onL(CR) yields a subdirect decomposition ofL(CR). Using these results we show thatL(CR) is arguesian. This confirms the (tacit) conjecture thatL(CR) is modular.
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More From: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
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