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This article is cited in 8 scientific papers (total in 8 papers)
Structure of quasivariety lattices. III. Finitely partitionable bases
A. V. Kravchenkoabcd, A. M. Nurakunove, M. V. Schwidefskydbc 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.
Received: 30.05.2019 Revised: 21.10.2020
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
Linking options:
https://www.mathnet.ru/eng/al2617 https://www.mathnet.ru/eng/al/v59/i3/p323
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Abstract page: | 226 | Full-text PDF : | 18 | References: | 22 | First page: | 15 |
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