Zobrazeno 1 - 10
of 36
pro vyhledávání: '"A. Kh. Khudoyberdiyev"'
Publikováno v:
Communications in Mathematics, Volume 32 (2024), Issue 2 (Special issue: CIMPA schools "Nonassociative Algebras and related topics, Brazil'2023" and "Current Trends in Algebra, Philippines'2024") (September 20, 2023) cm:11369
Leibniz superalgebras with nilindex $n + m$ and characteristic sequence $(n-1, 1 \ | \ m)$ divided into four parametric classes that contain a set of non-isomorphic superalgebras. In this paper, we give a complete classification of solvable Leibniz s
Externí odkaz:
http://arxiv.org/abs/2204.03836
In this paper we present the algorithm of finding the solutions of the equation $x^3+ax=b$ in $\mathbb{Z}^*_3$ with coefficients from $\mathbb{Q}_3$.
Externí odkaz:
http://arxiv.org/abs/1110.1010
Publikováno v:
International Journal of Algebra and Computation. 32:265-288
This paper is devoted to the so-called complete Leibniz algebras. We construct some complete Leibniz algebras with complete radical and prove that the direct sum of complete Leibniz algebras is also complete. It is known that a Lie algebra with a com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::51a7892d952f6be88e823a2112e0930c
https://doi.org/10.1142/s0218196722500138
https://doi.org/10.1142/s0218196722500138
Publikováno v:
Siberian Mathematical Journal. 63:1-18
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab573e667dac0e6c90dd33c91f2cb4d3
https://doi.org/10.1134/s0037446622010013
https://doi.org/10.1134/s0037446622010013
Publikováno v:
Communications in Mathematics, Vol 29, Iss 2, Pp 187-213 (2021)
In this paper we give the description of some non-strongly nilpotent Leibniz algebras. We pay our attention to the subclass of nilpotent Leibniz algebras, which is called filiform. Note that the set of filiform Leibniz algebras of fixed dimension can
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f153398f8d33db6f95810635cd09842c
https://doaj.org/article/6e009d2de7ae4b29b8c8e31a04c1b18b
https://doaj.org/article/6e009d2de7ae4b29b8c8e31a04c1b18b
Publikováno v:
Communications in Algebra. 49:1464-1494
An algebraic classification of complex $5$-dimensional nilpotent commutative $\mathfrak{CD}$-algebras is given. This classification is based on an algebraic classification of complex $5$-dimensional nilpotent Jordan algebras.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1daef1ca32f12c8e41fdcc6ae702ef46
https://doi.org/10.1080/00927872.2020.1837852
https://doi.org/10.1080/00927872.2020.1837852
In this work we consider extensions of solvable Lie algebras with naturally graded filiform nilradicals. Note that there exist two naturally graded filiform Lie algebras $n_{n, 1}$ and $Q_{2n}.$ We find all one-dimensional central extensions of the a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5817865f5180af93019472af70fd3090
http://arxiv.org/abs/2202.10718
http://arxiv.org/abs/2202.10718
In this paper, we give a classification of solvable Leibniz superalgebras whose nilradical is a nilpotent Leibniz superalgebra with nilindex $n + m$ and characteristic sequence $(n-1, 1 \ | \ m)$.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6db2afa6158d7eca28b2f5ab2f1f025f
Autor:
A. Kh. Khudoyberdiyev, Sh. A. Ayupov
Publikováno v:
Linear and Multilinear Algebra. 69:1286-1301
We show that in the class of solvable Lie algebras there exist algebras which admit local derivations which are not ordinary derivation and also algebras for which every local derivation is a deriv...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b04c83072afb3167c76d5c4af614f6b
https://doi.org/10.1080/03081087.2019.1626336
https://doi.org/10.1080/03081087.2019.1626336
Publikováno v:
idUS. Depósito de Investigación de la Universidad de Sevilla
instname
idUS: Depósito de Investigación de la Universidad de Sevilla
Universidad de Sevilla (US)
instname
idUS: Depósito de Investigación de la Universidad de Sevilla
Universidad de Sevilla (US)
In this paper we study subalgebras of complex finite dimensional evolution algebras. We obtain the classification of nilpotent evolution algebras whose any subalgebra is an evolution subalgebra with a basis which can be extended to a natural basis of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02779081e017133ff1ca61e7a4a627df
https://doi.org/10.1007/s10468-018-9767-7
https://doi.org/10.1007/s10468-018-9767-7