Zobrazeno 1 - 10 of 53 pro vyhledávání: '"A. I. Budkin"'
3
Independent axiomatizability of quasivarieties of torsion-free nilpotent groups
Autor: A. I. Budkin
Publikováno v: Algebra i logika. 60:123-136
Let N be a quasivariety of torsion-free nilpotent groups of class at most two. It is proved that the set of subquasivarieties in N, which have no independent basis of quasiidentities and are generated by a finitely generated group, is infinite. It is
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6eaf07388ef6e17ff286a443e49ccbb7
https://doi.org/10.33048/alglog.2021.60.201
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4
On Unsolvable Q-Theories of Varieties of Rings
Autor: A. I. Budkin
Publikováno v: Journal of Mathematical Sciences. 253:354-359
We prove that there are infinitely many finitely based varieties of associative rings containing a proper variety M of associative rings with unsolvable Q-theories and thereby give an affirmative answer to Mal’tsev’s question in Kourovka Notebook
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dc7d9e5ea409cf0d506925b43cb72e1c
https://doi.org/10.1007/s10958-021-05233-5
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6
On the Quasivarieties Generated by a Finite Group and Lacking Any Independent Bases of Quasi-Identities
Autor: A. I. Budkin
Publikováno v: Siberian Mathematical Journal. 61:983-993
Let $ {\mathcal{R}}_{p^{k}} $ be the variety of $ 2 $ -nilpotent groups of exponent $ p^{k} $ with commutator subgroup of exponent $ p $ ( $ p $ is a prime). We prove the infinity of the set of the subquasivarieties of $ {\mathcal{R}}_{p^{k}} $ $ (k\
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a274c496b6a64a675965fbf7006f73a3
https://doi.org/10.1134/s0037446620060038
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9
The Operator Ln on Quasivarieties of Universal Algebras
Autor: A. I. Budkin
Publikováno v: Siberian Mathematical Journal. 60:565-571
Let n be an arbitrary natural and let ℳ be a class of universal algebras. Denote by Ln(ℳ) the class of algebras G such that, for every n-generated subalgebra A of G, the coset a/R (a ∈ A) modulo the least congruence R including A × A is an alg
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::240a12d74f6bd24673b0afd3ece964c4
https://doi.org/10.1134/s0037446619040025
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10
ω-Independent Bases for Quasivarieites of Torsion-Free Groups
Autor: A. I. Budkin
Publikováno v: Algebra and Logic. 58:214-223
It is proved that there exists a set ℛ of quasivarieties of torsion-free groups which (a) have an ω-independent basis of quasi-identities in the class 𝒦0 of torsion-free groups, (b) do not have an independent basis of quasi-identities in 𝒦0,
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fdffcbbf96e7115cac36d23262d34c92
https://doi.org/10.1007/s10469-019-09539-x
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