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// Algebra i logika
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Algebra Logika,
2020
Volume 59,
Number 3,
Pages
323–333
(Mi al2617)
This article is cited 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
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
Fulltext:
PDF file (238 kB)
References
Cited by
English version:
Algebra and Logic, 2020,
59
:3,
222–229
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2025