Profinite Locally Finite Quasivarieties Full article
| Journal |
Studia Logica
ISSN: 0039-3215 , E-ISSN: 1572-8730 |
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| Output data | Year: 2024, Volume: 112, Pages: 835–859 Pages count : 25 DOI: 10.1007/s11225-023-10077-y | ||||
| Tags | Inverse limit, Locally finite, Quasi-equational basis, Quasivariety, Profinite structure, Standard quasivariety | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 22-21-00104 |
Abstract:
Let K and M be locally finite quasivarieties of finite type such that K ⊂ M.If K is profinite then the filter [K,M] in the quasivariety lattice Lq(M) is an atomic lattice and K has an independent quasi-equational basis relative to M. Applications of these results for lattices, unary algebras, groups, unary algebras, and distributive algebras are presented which concern some well-known problems on standard topological quasivarieties and other problems.
Cite:
Nurakunov A.M.
, Schwidefsky M.V.
Profinite Locally Finite Quasivarieties
Studia Logica. 2024. V.112. P.835–859. DOI: 10.1007/s11225-023-10077-y WOS Scopus РИНЦ OpenAlex
Profinite Locally Finite Quasivarieties
Studia Logica. 2024. V.112. P.835–859. DOI: 10.1007/s11225-023-10077-y WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Sep 28, 2022 |
| Published online: | Oct 16, 2023 |
| Published print: | Aug 22, 2024 |
Identifiers:
| Web of science: | WOS:001084194600002 |
| Scopus: | 2-s2.0-85174198959 |
| Elibrary: | 63599043 |
| OpenAlex: | W4387672263 |
Citing:
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