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A note on left regular semigroups. (English) Zbl 1259.20063

From the introduction: Here we consider some aspects of decompositions of left regular semigroups. We introduce the notion of left completely simple semigroup, which is a generalization of the notion of completely simple semigroup, we give various characterizations of these semigroups and we characterize left regular semigroups as semilattices of left completely simple semigroups. We also study various band decompositions with left simple components.

MSC:

20M17 Regular semigroups
20M10 General structure theory for semigroups
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