Equidivisible pseudovarieties of semigroups

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Almeida, J (Author) FCUP; Costa, A (Author) Other

Journal

Title: Publicationes Mathematicae

Vol. 90

Pages: 435-453

ISSN: 0033-3883

Publisher: Kossuth Lajos Tudomanyegyetem

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 9 Citations

Other information

Authenticus ID: P-00N-2MP

DOI: 10.5486/pmd.2017.7634

Abstract (EN): We give a complete characterization of pseudovarieties of semigroups whose finitely generated relatively free profinite semigroups are equidivisible. They, besides the pseudovarieties of completely simple semigroups, are precisely the pseudovarieties that are closed under Mal'cev product on the left by the pseudovariety of locally trivial semigroups. A further characterization, which turns out to be instrumental, states that they are the non-completely simple pseudovarieties that are closed under two-sided Karnofsky Rhodes expansion.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 19