Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/36672

TítuloFree profinite R-trivial, locally idempotent and locally commutative semigroups
Autor(es)Costa, José Carlos
Palavras-chaveR-trivial semigroup
Locally idempotent and commutative
Implicit operation
Pseudovariety
Data1999
EditoraSpringer
RevistaSemigroup Forum
Resumo(s)This paper is concerned with the structure of implicit operations on R intersection with LJ1, the pseudovariety of all R-trivial, locally idempotent and locally commutative semigroups. We give a unique factorization statement, in terms of component projections and idempotent elements, for the implicit operations on R intersection with LJ1. As an application we give a combinatorial description of the languages that are both R-trivial and locally testable. A similar study is conducted for the pseudovariety DA intersection with LJ1 of locally idempotent and locally commutative semigroups in which each regular D-class is a rectangular band.
Tipoarticle
URIhttp://hdl.handle.net/1822/36672
DOI10.1007/BF03325439
ISSN0037-1912
Arbitragem científicayes
AcessoopenAccess
Aparece nas coleções:CMAT - Artigos com arbitragem/Papers with refereeing

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