BIBLIOS

Document type
Journal articles

Document subtype
Full paper

Title
Formations of inverse semigroups

Participants in the publication
Gracinda M. S. Gomes (Author)
Dep. Matemática
CEMAT
Isabel J. Nobre (Author)
FACULDADE DE CIÊNCIAS E TECNOLOGIA DA UNIVERSIDADE NOVA DE LISBOA

Summary
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.


Institution
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Where published
Semigroup Forum

Publication Identifiers
ISSN - 0037-1912

Publisher
Springer Science and Business Media LLC



Document Identifiers
DOI - https://doi.org/10.1007/s00233-022-10290-6
URL - http://dx.doi.org/10.1007/s00233-022-10290-6

Rankings
SCIMAGO Q2 (2021) - 0,609 - Algebra and Number Theory

Keywords
Inverse semigroup · Idempotent separating congruence · Variety · Formation