A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky, “Structure of quasivariety lattices. III. Finitely partitionable bases”, Algebra Logika, 59:3 (2020), 323–333; Algebra and Logic, 59:3 (2020), 222

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Algebra i logika, 2020, Volume 59, Number 3, Pages 323–333
DOI: https://doi.org/10.33048/alglog.2020.59.303 (Mi al2617)

This article is cited in 10 scientific papers (total in 10 papers)

Structure of quasivariety lattices. III. Finitely partitionable bases

A. V. Kravchenko^abcd, A. M. Nurakunov^e, M. V. Schwidefsky^dbc

^a Siberian Institute of Management — Branch of the Russian Presidental Academy of National Economics and Public Administration, Novosibirsk
^b Novosibirsk State Technical University
^c Novosibirsk State University
^d Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^e Institute of Mathematics of the National Academy of Sciences of the Kyrgyz Republic

Full-text PDF (238 kB) Citations (10)

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DOI: https://doi.org/10.33048/alglog.2020.59.303

Abstract: We prove that each quasivariety containing a

$\mathrm{B}$ -class has continuum many subquasivarieties with finitely partitionable

$\omega$ -independent quasi-equational basis.

Keywords: independent basis, quasi-identity, quasivariety, finitely partitionable basis.

Funding agency	Grant number
Siberian Branch of Russian Academy of Sciences	I.1.1, проект № 0314-2019-0003
Ministry of Education and Science of the Republic of Kazakhstan	AP05132349
Russian Science Foundation	19-11-00209
A. V. Kravchenko and M. V. Schwidefsky are Supported by SB RAS Fundamental Research Program I.1.1, project No. 0314-2019-0003. A. M. Nurakunov is Supported by MES RK, project No. AP05132349 “Computability, interpretability and algebraic structure.” M. V. Schwidefsky is Supported by Russian Science Foundation, project No. 19-11-00209 (results of Sec. 9).

Received: 30.05.2019
Revised: 21.10.2020

English version:
Algebra and Logic, 2020, Volume 59, Issue 3, Pages 222–229
DOI: https://doi.org/10.1007/s10469-020-09594-9

Bibliographic databases:

Document Type: Article

UDC: 512.57

Language: Russian

Citation: A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky, “Structure of quasivariety lattices. III. Finitely partitionable bases”, Algebra Logika, 59:3 (2020), 323–333; Algebra and Logic, 59:3 (2020), 222–229

Citation in format AMSBIB

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\paper Structure of quasivariety lattices. III. Finitely partitionable bases

\jour Algebra Logika

\yr 2020

\vol 59

\issue 3

\pages 323--333

\mathnet{http://mi.mathnet.ru/al2617}

\crossref{https://doi.org/10.33048/alglog.2020.59.303}

\transl

\jour Algebra and Logic

\yr 2020

\vol 59

\issue 3

\pages 222--229

\crossref{https://doi.org/10.1007/s10469-020-09594-9}

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Linking options:

https://www.mathnet.ru/eng/al2617

https://www.mathnet.ru/eng/al/v59/i3/p323

Cycle of papers

Structure of Quasivariety Lattices. I. Independent Axiomatizability
A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky
Algebra Logika, 2018, 57:6, 684–710
Structure of quasivariety lattices. II. Undecidable problems
A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky
Algebra Logika, 2019, 58:2, 179–199
Structure of quasivariety lattices. III. Finitely partitionable bases
A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky
Algebra Logika, 2020, 59:3, 323–333
Structure of quasivariety lattices. IV. Nonstandard quasivarieties
A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky
Sibirsk. Mat. Zh., 2021, 62:5, 1049–1060

This publication is cited in the following 10 articles:

M. V. Schwidefsky, “Existence of Independent Quasi-Equational Bases. II”, Algebra Logic, 2024
M. V. Schwidefsky, “The complexity of quasivariety lattices. II”, Sib. elektron. matem. izv., 20:1 (2023), 501–513
Anvar M. Nurakunov, Marina V. Schwidefsky, “Profinite Locally Finite Quasivarieties”, Stud Logica, 2023
A. I. Budkin, “On the independent axiomatizability of quasivarieties of nilpotent groups”, Siberian Math. J., 64:1 (2023), 22–32
M. V. Shvidefski, “O suschestvovanii nezavisimykh bazisov kvazitozhdestv. II”, Algebra i logika, 62:6 (2023), 762–785
A. V. Kravchenko, “On directed and finitely partitionable bases for quasi-identities”, Sib. elektron. matem. izv., 19:2 (2022), 741–746
A. V. Kravchenko, M. V. Schwidefsky, “On nonstandard quasivarieties of differential groupoids and unary algebras”, Sib. elektron. matem. izv., 19:2 (2022), 768–783
Kira Adaricheva, Jennifer Hyndman, J. B. Nation, Joy N. Nishida, CMS/CAIMS Books in Mathematics, 3, A Primer of Subquasivariety Lattices, 2022, 1
A. I. Budkin, “Independent axiomatizability of quasivarieties of torsion-free nilpotent groups”, Algebra and Logic, 60:2 (2021), 79–88
A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky, “Structure of quasivariety lattices. IV. Nonstandard quasivarieties”, Siberian Math. J., 62:5 (2021), 850–858

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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