Idempotent-generated semigroups and pseudovarieties

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...

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Detalhes bibliográficos
Autor principal: Almeida, Jorge (author)
Outros Autores: Moura, Ana (author)
Formato: article
Idioma:eng
Publicado em: 2018
Assuntos:
Texto completo:http://hdl.handle.net/10400.22/11165
País:Portugal
Oai:oai:recipp.ipp.pt:10400.22/11165
Descrição
Resumo: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.