Results 1 to 10 of about 67,516 (164)
2-Local derivations of real AW*-algebras are derivation [PDF]
Positivity, 2021 Abstract2-Local derivations on real matrix algebras over unital semi-prime Banach algebras are considered. Using the real analogue of the result that any 2-local derivation on the algebra $$M_{2^n}(A)$$ M 2 n
R. A. Dadakhodjaev, A. A. Rakhimov
openaire +3 more sources
Local and 2-Local Derivations of Locally Simple Lie Algebras
Journal of Mathematical Sciences, 2022 In the present paper, we study local and 2-local derivations of the classical locally simple Lie algebras. Firstly, we prove that every local and 2-local derivations on classical locally simple Lie algebra is a derivation. Further, we show that every local derivation of Borel subalgebras of locally simple Lie algebras is a derivation.
Ayupov, Sh. +2 more
openaire +5 more sources
2-Local derivations on von Neumann algebras [PDF]
Positivity, 2014 7 ...
Ayupov, Shavkat +1 more
openaire +5 more sources
Characterization of 2-Local Derivations and Local Lie Derivations on Some Algebras
Siberian Mathematical Journal, 2018 We prove that every 2-local derivation from the algebra $M_n(\mathcal{A})(n>2)$ into its bimodule $M_n(\mathcal{M})$ is a derivation, where $\mathcal{A}$ is a unital Banach algebra and $\mathcal{M}$ is a unital $\mathcal{A}$-bimodule such that each Jordan derivation from $\mathcal{A}$ into $\mathcal{M}$ is an inner derivation, and that every 2-local
He, J., Li, J., An, G., Huang, W.
openaire +4 more sources
Local and 2-local derivations on noncommutative Arens algebras [PDF]
Mathematica Slovaca, 2014 Abstract The paper is devoted to so-called local and 2-local derivations on the noncommutative Arens algebra L ω(M,τ) associated with a von Neumann algebra M and a faithful normal semi-finite trace τ. We prove that every 2-local derivation on L ω(M,τ) is a spatial derivation, and if M is a ...
Ayupov, Shavkat +3 more
openaire +4 more sources
2-Local derivations on Witt algebras [PDF]
Journal of Algebra and Its Applications, 2020 In this paper, we prove that every 2-local derivation on Witt algebras [Formula: see text] or [Formula: see text] is a derivation for all [Formula: see text]. As a consequence we obtain that every 2-local derivation on any centerless generalized Virasoro algebra of higher rank is a derivation.
Yueqiang Zhao, Yang Chen, Kaiming Zhao
openaire +2 more sources
A CHARACTERIZATION OF DERIVATIONS AND AUTOMORPHISMS ON SOME SIMPLE ALGEBRAS
Ural Mathematical Journal, 2022 In the present paper, we study simple algebras, which do not belong to the well-known classes of algebras (associative algebras, alternative algebras, Lie algebras, Jordan algebras, etc.).
Farhodjon Arzikulov +2 more
doaj +1 more source
2-Local derivations on the planar Galilean conformal algebra
International Journal of Mathematics, 2023 This paper is devoted to studying 2-local derivations on the planar Galilean conformal algebra. We prove that every 2-local derivation on the planar Galilean conformal algebra is a derivation.
Qiu-Fan Chen, Yan He
openaire +3 more sources
2-local derivations on AW*-algebras of type I [PDF]
Lobachevskii Journal of Mathematics, 2017 17 ...
Ayupov, Sh., Arzikulov, F.
openaire +3 more sources
Local and 2-local derivations of solvable Leibniz algebras [PDF]
International Journal of Algebra and Computation, 2020 We show that any local derivation on the solvable Leibniz algebras with model or abelian nilradicals, whose dimension of complementary space is maximal is a derivation. We show that solvable Leibniz algebras with abelian nilradicals, which have [Formula: see text] dimension complementary space, admit local derivations which are not derivations ...
Shavkat A. Ayupov +2 more
openaire +3 more sources