BIBLIOS

Document type
Journal articles

Document subtype
Full paper

Title
Formations of orthodox semigroups

Participants in the publication
Gracinda M. S. Gomes (Author)
Dep. Matemática
CEMAT
Ana-Catarina C. Monteiro (Author)
Dep. Matemática
CEMAT

Summary
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.


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

Rankings
SCIMAGO Q1 (2023) - 0.9 - algebra

Keywords
Orthodox semigroup idempotent separating quotient bivariety formation