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pro vyhledávání: '"Gusev, S."'
Autor:
Gusev, S. V.
We show that the following semirings satisfy the same identities: the semiring $\mathcal{R}_n$ of all reflexive binary relations on a set with $n$ elements, the semiring $\mathcal{U}_n$ of all $n\times n$ upper triangular matrices over the boolean se
Externí odkaz:
http://arxiv.org/abs/2301.11863
Autor:
Koshevoy, N., Gusev, S.
Publikováno v:
Avtomobilʹnyj Transport (Harʹkov), Vol 32, Pp 41-46 (2013)
The existing fuel control systems in internal combustion engines are considered and analysed. Some lacks have been revealed in the analysis. New fuel control systems are developed with the account of the given lacks
Externí odkaz:
https://doaj.org/article/c5c816625be74286b0ce25b849eb5805
Multilayers of heavy metals and ferromagnets are the basis for the formation of various structures with inhomogeneous chiral magnetic distributions. The most informative method for studying magnetic states in such structures with a high spatial resol
Externí odkaz:
http://arxiv.org/abs/2101.02460
Autor:
Gusev, S. V., Sapir, O. B.
Publikováno v:
Communications in Algebra 50, No. 7 (2022), 3007-3027
A variety of algebras is called limit if it is non-finitely based but all its proper subvarieties are finitely based. We present a new pair of limit varieties of monoids and show that together with the five limit varieties of monoids previously disco
Externí odkaz:
http://arxiv.org/abs/2009.06904
Autor:
Gusev, S. V.
A variety of algebras is called Cross if it is finitely based, finitely generated, and has finitely many subvarieties. In present article, we classify all Cross varieties of aperiodic monoids with commuting idempotents.
Externí odkaz:
http://arxiv.org/abs/2004.03470
Akademický článek
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Akademický článek
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Autor:
Gusev, S. V.
Publikováno v:
J. Algebra Appl. 20, No. 9 (2021), 2150160
A variety of algebras is called limit if it is non-finitely based but all its proper subvarieties are finitely based. A monoid is aperiodic if all its subgroups are trivial. We classify all limit varieties of aperiodic monoids with commuting idempote
Externí odkaz:
http://arxiv.org/abs/1911.08574
Autor:
Gusev, S. V.
Publikováno v:
Algebra and Logic 59 (2021), 415-422
We completely classify all standard elements in the lattice of all monoid varieties. In particular, we prove that an element of this lattice is standard if and only if it is neutral.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/1909.13013
Autor:
Gusev, S. V.
Publikováno v:
Semigroup Forum 101 (2020), 102-120
A variety of universal algebras is called limit if it is non-finitely based but all its proper subvarieties are finitely based. Until recently, only two explicit examples of limit varieties of monoids, constructed by Jackson, were known. Recently Zha
Externí odkaz:
http://arxiv.org/abs/1905.08437