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Locally maximal idempotent-generated subsemigroups of \(PO_n\). (Chinese. English summary) Zbl 1274.20079

Summary: The semigroup \(PO_n\) of all singular partial order-preserving transformations on a finite chain is studied. By analyzing the idempotent elements, the structure and the classification of the locally maximal idempotent-generated subsemigroups of \(PO_n\) are obtained.

MSC:

20M20 Semigroups of transformations, relations, partitions, etc.
20M05 Free semigroups, generators and relations, word problems
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