Semigroup presentations for test local groups

Utilize este identificador para referenciar este registo: https://hdl.handle.net/1822/32280

Título:	Semigroup presentations for test local groups
Autor(es):	Costa, José Carlos Nogueira, Conceição Teixeira, M. Lurdes
Palavras-chave:	Local group Semigroup presentation Rees matrix semigroup Pseudovariety k -term Canonical form kappa-term ?-term
Data:	2015
Editora:	Springer
Revista:	Semigroup Forum
Citação:	Costa, J. C., Nogueira, C., & Teixeira, M. L. (2015). Semigroup presentations for test local groups. Semigroup Forum, 90(3), 731-752. doi: 10.1007/s00233-014-9656-2
Resumo(s):	In this paper we exhibit a type of semigroup presentations which determines a class of local groups. We show that the finite elements of this class generate the pseudovariety LG of all finite local groups and use them as test-semigroups to prove that LG and S, the pseudovariety of all finite semigroups, verify the same kappa-identities involving kappa-terms of rank at most 1, where kappa denotes the implicit signature consisting of the multiplication and the (omega-1)-power.
Tipo:	Artigo
URI:	https://hdl.handle.net/1822/32280
DOI:	10.1007/s00233-014-9656-2
ISSN:	0037-1912
Arbitragem científica:	yes
Acesso:	Acesso aberto
Aparece nas coleções:	CMAT - Artigos em revistas com arbitragem / Papers in peer review journals