A classification of maximal idempotent-generated subsemigroups of finite orientation-preserving singular partial transformation semigroups

摘要

In this paper we describe the maximal idempotent-generated subsemigroups of the finite orientation-preserving singular partial transformation semigroup SPOP _n and obtain their complete classification. We also obtain a classification of the maximal idempotent-generated subsemigroups of the finite order-preserving singular partial transformation semigroup PO _n ~k with respect to ≤ _k.