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https://hdl.handle.net/10316/114817
Title: | Equidivisibility and profinite coproduct | Authors: | Almeida, Jorge Costa, Alfredo |
Keywords: | Pro nite semigroup; equidivisible; free product; coproduct; Karnofsky{ Rhodes expansion | Issue Date: | 2023 | Publisher: | Taylor & Francis | Project: | UID/MAT/00144/2020 SFRH/BSAB/142872/2018 research grant 19-12790S of the Grant Agency of the Czech Republic SFRH/BSAB/150401/2019 UIDB/00324/2020 |
Serial title, monograph or event: | Quaestiones Mathematicae | Volume: | 46 | Issue: | 11 | Abstract: | 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 nite semigroups. Exploring the relationship with the two-sided Karnofsky{Rhodes expansion, the notions of KR-cover and strong KR-cover for pro nite semigroups are introduced. The former is stronger than equidivisibility and the latter provides a characterization of equidivisible pro nite semigroups with an extra mild condi- tion, 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 ( nite) V-coproduct is established. | URI: | https://hdl.handle.net/10316/114817 | ISSN: | 1607-3606 1727-933X |
DOI: | 10.2989/16073606.2022.2148586 | Rights: | openAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais FCTUC Matemática - Artigos em Revistas Internacionais |
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Equidivisibility and profinite coproduct.pdf | 1.19 MB | Adobe PDF | View/Open |
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