Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Viktor Abramov"'
Autor:
Viktor Abramov, Olga Liivapuu
Publikováno v:
Proceedings of the Estonian Academy of Sciences, Vol 73, Iss 1, Pp 50-59 (2024)
In this paper, we propose the notion of a transposed Poisson superalgebra. We prove that a transposed Poisson superalgebra can be constructed by means of a commutative associative superalgebra and an even degree derivation of this algebra. Making use
Externí odkaz:
https://doaj.org/article/cc9d1e7a136546d1868d027d74d11b73
Autor:
Viktor Abramov
Publikováno v:
Axioms, Vol 13, Iss 10, p 687 (2024)
We propose a new approach to extend the notion of commutator and Lie algebra to algebras with ternary multiplication laws. Our approach is based on the ternary associativity of the first and second kinds. We propose a ternary commutator, which is a l
Externí odkaz:
https://doaj.org/article/b848617de46d4fa0bc3faac6ec34e2dc
Publikováno v:
Proceedings of the Estonian Academy of Sciences, Vol 72, Iss 1, Pp 61-76 (2023)
We propose a unital associative algebra, motivated by a generalization of the Pauliâs exclusion principle proposed for the quark model. The generators of this algebra satisfy the following relations: The sum of squares of all generators is equal to
Externí odkaz:
https://doaj.org/article/2cbe617173a44b3baabe19c84cdbab34
Autor:
Viktor Abramov, Olga Liivapuu
Publikováno v:
Universe, Vol 10, Iss 1, p 2 (2023)
Motivated by a ternary generalization of the Pauli exclusion principle proposed by R. Kerner, we propose a notion of a Z3-skew-symmetric covariant SO(3)-tensor of the third order, consider it as a 3-dimensional matrix, and study the geometry of the 1
Externí odkaz:
https://doaj.org/article/917681edca1c4b0a8f41ec33db276ba8
Autor:
Viktor Abramov, Priit Lätt
Publikováno v:
Proceedings of the Estonian Academy of Sciences, Vol 69, Iss 2, Pp 116-133 (2020)
We construct 3-Lie superalgebras on a commutative superalgebra by means of involution and even degree derivation. We construct a representation of induced 3-Lie algebras and superalgebras by means of a representation of initial (binary) Lie algebra,
Externí odkaz:
https://doaj.org/article/c635fb8489634dabab555b39bd2cb5f4
Autor:
Viktor Abramov
Publikováno v:
Axioms, Vol 8, Iss 1, p 21 (2019)
We show that given a Lie superalgebra and an element of its dual space, one can construct the 3-Lie superalgebra. We apply this approach to Lie superalgebra of ( m , n ) -block matrices taking a supertrace of a matrix as the element of dual space. Th
Externí odkaz:
https://doaj.org/article/d0e4c0e07813412db36140ae6b5a707d
Publikováno v:
Universe, Vol 4, Iss 12, p 138 (2018)
We propose the notion of ( q , σ , τ ) -differential graded algebra, which generalizes the notions of ( σ , τ ) -differential graded algebra and q-differential graded algebra. We construct two examples of ( q , σ , τ ) -differential graded alge
Externí odkaz:
https://doaj.org/article/3255930fc3d14c6096380ea343b6f9e8
Autor:
Viktor Abramov
Publikováno v:
Universe, Vol 4, Iss 10, p 106 (2018)
We propose a generalization of the Nambu–Hamilton equation in superspace R 3 | 2 with three real and two Grassmann coordinates. We construct the even degree vector field in the superspace R 3 | 2 by means of the right-hand sides of the proposed gen
Externí odkaz:
https://doaj.org/article/6526dc2de81447a8879839b13b17118e
Autor:
Viktor Abramov, Olga Liivapuu
In this paper we propose the notion of a transposed Poisson superalgebra. We prove that a transposed Poisson superalgebra can be constructed by means of a commutative associative superalgebra and an even degree derivation of this algebra. Making use
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97661d8cef06e25e4ded637d88e086a1
https://doi.org/10.20944/preprints202305.0905.v1
https://doi.org/10.20944/preprints202305.0905.v1
Autor:
Viktor Abramov, Yuliya Shpak
Publikováno v:
Bulletin of Kemerovo State University. Series: Political, Sociological and Economic sciences. 2022:115-124
he paper introduces a new methodology for assessing the innovation activity of personnel for small and medium-sized businesses. It also contains a review of approaches to the concept of innovation activity, which includes generation of new ideas, sel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::552953ef2a4673c77c760b64f39f4579
https://doi.org/10.21603/2500-3372-2022-7-1-115-124
https://doi.org/10.21603/2500-3372-2022-7-1-115-124