Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.2/3807
Título: On finite complete presentations and exact decompositions of semigroups
Autor: Araújo, João
Malheiro, António
Data: 2011
Citação: Araújo, João; Malheiro, António - On finite complete presentations and exact decompositions of semigroups. "Communications in Algebra" [Em linha]. ISSN 0092-7872 (Print) 1532-4125 (Online). Vol. 39, nº 10 (2011), p. 1-12
Resumo: We prove that given a finite (zero) exact right decomposition (M, T) of a semigroup S, if M is defined by a finite complete presentation, then S is also defined by a finite complete presentation. Exact right decompositions are natural generalizations to semigroups of coset decompositions in groups. As a consequence, we deduce that any Zappa–Szép extension of a monoid defined by a finite complete presentation, by a finite monoid, is also defined by such a presentation. It is also proved that a semigroup M 0[A; I, J; P], where A and P satisfy some very general conditions, is also defined by a finite complete presentation.
Peer review: yes
URI: http://hdl.handle.net/10400.2/3807
DOI: 10.1080/00927872.2010.514314
ISSN: 0092-7872
1532-4125
Aparece nas colecções:Matemática e Estatística - Artigos em revistas internacionais / Papers in international journals

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