A functor from semigroups to rings

• Tipo: Artigo em Revista Científica Internacional
• Data: 2000

Autores

Mario Petrich (Autor) Outra; Pedro V. Silva (Autor) FCUP

Revista

Título: Journal of Pure and Applied Algebra

Vol. 148

Páginas: 285-307

ISSN: 0022-4049

Editora: Elsevier

Indexação

ISI Web of Knowledge - 1 Citação

ISI Web of Science

Scopus - 1 Citação

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-001-039

DOI: 10.1016/s0022-4049(98)00142-x

Abstract (EN): The functor Z in question associates to every semigroup S the semigroup ring Z(S) where Z is the ring of integers. We construct two more functors, one naturally equivalent to Z and one adjoint of Z. In relation to the functor Z, we also study the functor which to each ring R associates the usual embedding of R into a unitary ring. We consider the effect of the functor Z on such semigroup constructions as strong semilattices of semigroups, Rees matrix and Bruck semigroups. The paper concludes with certain commutativity property of Z with the translational hull in semigroups and rings.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 23