Zobrazeno 1 - 10 of 76 pro vyhledávání: '"Isamiddin S. Rakhimov"'
1
Akademický článek
Generalized Derivations in Semiprime Gamma Rings
Autor: Kalyan Kumar Dey, Akhil Chandra Paul, Isamiddin S. Rakhimov
Publikováno v: International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)
Let M be a 2-torsion-free semiprime Γ-ring satisfying the condition aαbβc=aβbαc for all a,b,c∈M, α,β∈Γ, and let D:M→M be an additive mapping such that D(xαx)=D(x)αx+xαd(x) for all x∈M, α∈Γ and for some derivation d of M. We pro
Externí odkaz: https://doaj.org/article/8914d76f44694741ac1314c60078dee9
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2
Akademický článek
On Prime-Gamma-Near-Rings with Generalized Derivations
Autor: Kalyan Kumar Dey, Akhil Chandra Paul, Isamiddin S. Rakhimov
Publikováno v: International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)
Let 𝑁 be a 2-torsion free prime Γ-near-ring with center 𝑍(𝑁). Let (𝑓,𝑑) and (𝑔,ℎ) be two generalized derivations on 𝑁. We prove the following results: (i) if 𝑓([𝑥,𝑦]𝛼)=0 or 𝑓([𝑥,𝑦]𝛼)=±[𝑥,𝑦]𝛼 o
Externí odkaz: https://doaj.org/article/32e320072db847c0922a47967e37a14c
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3
Identities on Two-Dimensional Algebras
Autor: H. Ahmed, U. Bekbaev, Isamiddin S. Rakhimov
Publikováno v: Lobachevskii Journal of Mathematics. 41:1615-1629
In the paper we provide some polynomial identities for finite-dimensional algebras. A list of well known single polynomial identities is exposed and the classification of all two-dimensional algebras with respect to these identities is given.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cf74cbc743a95d83d5f6cb3c7f8b3c0e
https://doi.org/10.1134/s1995080220090024
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4
Subalgebras, idempotents, ideals and quasi-units of two-dimensional algebras
Autor: H. Ahmed, Isamiddin S. Rakhimov, U. Bekbaev
Publikováno v: International Journal of Algebra and Computation. 30:903-929
All subalgebras, idempotents, left(right) ideals and left quasi-units of two-dimensional algebras are described. Classifications of algebras with given number of subalgebras, left(right) ideals are provided. In particular, a list of isomorphism class
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3762f1d7d00233b13fab1c515d0ef0c4
https://doi.org/10.1142/s0218196720500253
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6
On Two-Dimensional Power Associative Algebras Over Algebraically Closed Fields and R
Autor: U. Bekbaev, H. Ahmed, Isamiddin S. Rakhimov
Publikováno v: Lobachevskii Journal of Mathematics. 40:1-13
In this paper we describe all power-associative algebra structures on a two-dimensional vector space over algebraically closed fields and ℝ. The list of all two-dimensional left(right) unital power-associative algebras, along with their unit elemen
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1948898cfca525185c12a6b05e7a4026
https://doi.org/10.1134/s1995080219010025
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10
On isomorphism criterion for a subclass of complex filiform Leibniz algebras
Autor: K. A. Mohd Atan, A. Kh. Khudoyberdiyev, Bakhrom Omirov, Isamiddin S. Rakhimov
Publikováno v: International Journal of Algebra and Computation. 27:953-972
In this paper, we present an algorithm to give the isomorphism criterion for a subclass of complex filiform Leibniz algebras arising from naturally graded filiform Lie algebras. This subclass appeared as a Leibniz central extension of a linear deform
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d72f1682d716f2e98b1de4be4ae78993
https://doi.org/10.1142/s0218196717500448
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