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The structure of \(\mathcal P\)-regular semigroups. (English) Zbl 0887.20028

A \(\mathcal P\)-regular semigroup is a regular semigroup equipped with a distinguished family of idempotents satisfying certain axioms; such semigroups can be regarded as generalisations of regular *-semigroups. The authors prove \(\mathcal P\)-analogues of some classical results on regular semigroups.

MSC:

20M17 Regular semigroups
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References:

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