Results 261 to 270 of about 216,282 (303)

Generalized Jordan derivations on triangular matrix algebras

Linear and Multilinear Algebra, 2007
In this note, we prove that every generalized Jordan derivation from the algebra of all upper triangular matrices over a commutative ring with identity into its bimodule is the sum of a generalized derivation and an antiderivation.
Fei Ma, Guoxing Ji
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Characterizations of Lie centralizers of generalized matrix algebras

Communications in Algebra, 2023
Let G be a generalized matrix algebra. A linear map ϕ:G→G is said to be a left (right) Lie centralizer at E∈G if ϕ([S,T])=[ϕ(S),T] (ϕ([S,T])=[S,ϕ(T)]) holds for all S,T∈G with ST = E. ϕ is of a standard form if ϕ(A)=ZA+γ(A) for all A∈G, where Z is in the
Lei Liu, Kaitian Gao
semanticscholar   +1 more source

Local derivations of generalized matrix algebras

Publicationes Mathematicae Debrecen, 2021
Lei Liu
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Lie centralizers at the zero products on generalized matrix algebras

, 2021
Let [Formula: see text] be a 2-torsion free unital generalized matrix algebra, and [Formula: see text] be a linear map satisfying [Formula: see text] In this paper, we study the structure of [Formula: see text] and under some mild conditions on [Formula:
B. Fadaee, H. Ghahramani
semanticscholar   +1 more source

On nonlinear Lie centralizers of generalized matrix algebras

Linear and multilinear algebra, 2020
The aim of the paper is to give a description of nonlinear Lie centralizers for a certain class of generalized matrix algebras. The result is then applied to some full matrix algebras and triangular algebras.
Lei Liu
semanticscholar   +1 more source

Characterizations of Lie triple derivations on generalized matrix algebras

, 2020
Let be a commutative ring with unity and be a generalized matrix algebra. In this article, we give the structure of Lie triple derivation on a generalized matrix algebra and prove that under certain appropriate assumptions on is proper, i.e., where δ is ...
M. Ashraf, Mohd Shuaib Akhtar
semanticscholar   +1 more source

Generalized Centrosymmetric Matrix Algebras Induced by Automorphisms

Algebra Colloquium, 2022
Let [Formula: see text] be a ring with an automorphism [Formula: see text] of order two. We introduce the definition of [Formula: see text]-centrosymmetric matrices. Denote by [Formula: see text] the ring of all [Formula: see text] matrices over [Formula: see text], and by [Formula: see text] the set of all [Formula: see text]-centrosymmetric [Formula:
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Generalized matrix completion and algebraic natural proofs

Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing, 2018
Algebraic natural proofs were recently introduced by Forbes, Shpilka and Volk (Proc. of the 49th Annual ACM SIGACT Symposium on Theory of Computing (STOC), pages 653–664, 2017) and independently by Grochow, Kumar, Saks and Saraf (CoRR, abs/1701.01717, 2017) as an attempt to transfer Razborov and Rudich’s famous barrier result (J. Comput. Syst. Sci., 55(
Bläser, M., Ikenmeyer, C., Jindal, G., Lysikov, V.   +3 more
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Extremal generalized centralizers in matrix algebras

Communications in Algebra, 2018
We describe matrices with extremal generalized centralizers over algebraically closed fields.
Gregor Dolinar, Alexander Guterman, Bojan Kuzma, Olga Markova   +3 more
openaire   +1 more source

Generalized Lie n-derivations of triangular algebras

Communications in Algebra, 2019
Let be a triangular algebra. We show that under suitable assumptions every generalized Lie n-derivation associated with a linear map is of the form where and Δ is a Lie n-derivation of We solve this problem using commuting and centralizing maps.
Dominik Benkovič
semanticscholar   +1 more source