BIBLIOS

Tipo
Artigos em Revista

Tipo de Documento
Artigo Completo

Título
Formations of inverse semigroups

Participantes na publicação
Gracinda M. S. Gomes (Author)
Dep. Matemática
CEMAT
Isabel J. Nobre (Author)
FACULDADE DE CIÊNCIAS E TECNOLOGIA DA UNIVERSIDADE NOVA DE LISBOA

Resumo
This article explores a generalisation of the theory of formations of groups. Taking for- mations of groups as the starting point, formations of inverse semigroups are defined, as well as the wider classes of i-formations (i standing for idempotent-separating) and some classes of the kind named f-formations (f standing for fundamental). The relation between the nature of a class of groups and that of certain classes of inverse semigroups with associated groups in the first is discussed. The product of formations is considered, and a product like the Gaschutz’s product known for groups is presented for f-formations.


Instituição
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Suporte
Semigroup Forum

Identificadores da Publicação
ISSN - 0037-1912

Editora
Springer Science and Business Media LLC



Identificadores do Documento
DOI - https://doi.org/10.1007/s00233-022-10290-6
URL - http://dx.doi.org/10.1007/s00233-022-10290-6

Identificadores de Qualidade
SCIMAGO Q2 (2021) - 0,609 - Algebra and Number Theory

Keywords
Inverse semigroup · Idempotent separating congruence · Variety · Formation