Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/11004
Título: | Unary semigroups with an associate subgroup |
Autor(es): | Martins, Paula Mendes Petrich, Mario |
Palavras-chave: | Regular semigroups Associate subgroup semigroup associate medial subgroup unary |
Data: | 2008 |
Editora: | Taylor & Francis |
Revista: | Communications in Algebra |
Citação: | "Communications in Algebra". ISSN 0092-7872 . 36:6 (2008) 1999-2013. |
Resumo(s): | A subgroup H of a regular semigroup S is said to be an associate subgroup of S if for every s ∈ S, there is a unique associate of s in H. An idempotent z of S is said to be medial if czc = c, for every c product of idempotents of S. Blyth and Martins established a structure theorem for semigroups with an associate subgroup whose identity is a medial idempotent, in terms of an idempotent generated semigroup, a group and a single homomorphism. Here, we construct a system of axioms which characterize these semigroups in terms of a unary operation satisfying those axioms. As a generalization of this class of semigroups, we characterize regular semigroups S having a subgroup which is a transversal of a congruence on S. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/11004 |
DOI: | 10.1080/00927870801947306 |
ISSN: | 0092-7872 |
Versão da editora: | http://www.informaworld.com/smpp/title~content=t713597239 |
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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Final-Martins-Petrich-Oct2006.pdf | artigo completo | 130,97 kB | Adobe PDF | Ver/Abrir |