Equidivisibility and profinite coproduct

• Type: Article in International Scientific Journal
• Date: 2023

Authors

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

Journal

The Journal is awaiting validation by the Administrative Services.

Title: QUAESTIONES MATHEMATICAE

Vol. 46

Pages: 2243-2275

ISSN: 1607-3606

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Other information

Authenticus ID: P-00X-WQM

DOI: 10.2989/16073606.2022.2148586

Abstract (EN): The aim of this work is to investigate the behavior of equidivisibility under coproduct in the category of pro-V semigroups, where V is a pseudovariety of finite semigroups. Exploring the relationship with the two-sided Karnofsky-Rhodes expansion, the notions of KR-cover and strong KR-cover for profinite semigroups are introduced. The former is stronger than equidivisibility and the latter provides a characterization of equidivisible profinite semigroups with an extra mild condition, so-called letter super-cancellativity. Furthermore, under the assumption that V is closed under two-sided Karnofsky-Rhodes expansion, closure of some classes of equidivisible pro-V semigroups under (finite) V-coproduct is established.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 33