Idempotent-generated semigroups and pseudovarieties

Almeida, Jorge; Moura, Ana

http://hdl.handle.net/10400.22/11165

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Authors

Almeida, Jorge

Moura, Ana

Abstract(s)

The operator which constructs the pseudovariety generated by the idempotent-generated semigroups of a given pseudovariety is investigated. Several relevant examples of pseudovarieties generated by their idempotent- generated elements are given as well as some properties of this operator. Particular attention is paid to the pseudovarieties in {J, R, L, DA} concerning this operator and their generator ranks and idempotent-generator ranks.