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Splitting left distributive semigroups. (English) Zbl 0705.20054

A semigroup is left distributive if the identity \(xyz=xyxz\) holds in it. In these semigroups the idempotents form a left ideal. The paper studies products of idempotent left distributive semigroups and of left distributive semigroups that have only one idempotent.
Reviewer: T.J.Harju

MSC:

20M10 General structure theory for semigroups
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