A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky, “Structure of quasivariety lattices. III. Finitely partitionable bases”, Algebra Logika, 2020, Volume 59, Number 3,Pages <nobr>323–333</nobr>

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Algebra Logika, 2020 Volume 59, Number 3, Pages 323–333 (Mi al2617)

This article is cited in 8 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

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.

UDC: 512.57

Received: 30.05.2019
Revised: 21.10.2020

DOI: 10.33048/alglog.2020.59.303

English version: Algebra and Logic, 2020, 59:3, 222–229

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© Steklov Math. Inst. of RAS, 2024