Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/36672
Título: | Free profinite R-trivial, locally idempotent and locally commutative semigroups |
Autor(es): | Costa, José Carlos |
Palavras-chave: | R-trivial semigroup Locally idempotent and commutative Implicit operation Pseudovariety |
Data: | 1999 |
Editora: | Springer |
Revista: | Semigroup 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. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/36672 |
DOI: | 10.1007/BF03325439 |
ISSN: | 0037-1912 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Costa-RLj1.pdf | 355,84 kB | Adobe PDF | Ver/Abrir |