BIBLIOS

Tipo
Artigos em Revista

Tipo de Documento
Artigo Completo

Título
Formations of orthodox semigroups

Participantes na publicação
Gracinda M. S. Gomes (Author)
Dep. Matemática
CEMAT
Ana-Catarina C. Monteiro (Author)
Dep. Matemática
CEMAT

Resumo
Taking formations of groups and of inverse semigroups as the starting point, formations of orthodox semigroups are defined, as well as the wider class of i-formations (i standing for idempotent-separating). The relation between the nature of a class of inverse semigroups F [of groups G] and that of certain classes of orthodox semigroups with associated inverse semigroups in F [groups in G] is discussed. The product of formations of orthodox semigroups, in particular of R-unipotent semigroups, is considered, and a product like the Gaschütz product known for groups is presented for i-formations. The paper concludes with a list of questions.


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/s00233-023-10390-x
URL - http://dx.doi.org/10.1007/s00233-023-10390-x

Identificadores de Qualidade
SCIMAGO Q1 (2023) - 0.9 - algebra

Keywords
Orthodox semigroup idempotent separating quotient bivariety formation