Results 1 to 10 of about 51 (43)

Linear Lie centralizers of the algebra of strictly block upper triangular matrices

Operators and Matrices, 2021
Let N be the algebra of all n×n strictly block upper triangular matrices over a field F . In this paper, we describe all linear Lie centralizers of N . We also show that every linear Lie centralizer of N is a centralizer.
P. Ghimire
semanticscholar   +1 more source

On k-semi-centralizing maps of generalized matrix algebras

Acta Universitatis Sapientiae: Mathematica, 2023
Let 𝒢 = 𝒢 (A, M, N, B) be a generalized matrix algebra over a commutative ring with unity. In the present article, we study k-semi-centralizing maps of generalized matrix algebras.
Ashraf Mohammad, Kumar Mohit, Jabeen Aisha, Ahmad Musheer   +3 more
doaj   +1 more source

Jordan centralizer maps on trivial extension algebras

Demonstratio Mathematica, 2020
The structure of Jordan centralizer maps is investigated on trivial extension algebras. One may obtain some conditions under which a Jordan centralizer map on a trivial extension algebra is a centralizer map. As an application, we characterize the Jordan
Bahmani Mohammad Ali, Ghomanjani Fateme, Shateyi Stanford   +2 more
doaj   +1 more source

σ-derivations on generalized matrix algebras

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
Let 𝒭 be a commutative ring with unity, 𝒜, 𝒝 be 𝒭-algebras, 𝒨 be (𝒜, 𝒝)-bimodule and 𝒩 be (𝒝, 𝒜)-bimodule. The 𝒭-algebra 𝒢 = 𝒢(𝒜, 𝒨, 𝒩, 𝒝) is a generalized matrix algebra defined by the Morita context (𝒜, 𝒝, 𝒨, 𝒩, ξ𝒨𝒩, Ω𝒩𝒨).
Jabeen Aisha, Ashraf Mohammad, Ahmad Musheer   +2 more
doaj   +1 more source

A new version of the Gleason-Kahane-Żelazko theorem in complete random normed algebras

Journal of Inequalities and Applications, 2012
In this article we first present the notion of multiplicative L0-linear function. Moreover, we establish a new version of the Gleason-Kahane-Żelazko theorem in unital complete random normed algebras. Mathematics Subject Classification 2000: 46H25; 46H05;
Yuehan Tang
semanticscholar   +1 more source

Generalized Lie derivations of unital algebras with idempotents

, 2018
Let A be a unital algebra with a nontrivial idempotent e over a unital commutative ring R . We show that under suitable assumptions every generalized Lie n -derivation F : A → A is of the form F(x) = λx+ Δ(x) , where λ ∈ Z(A ) and Δ is a Lie n ...
Dominik Benkovič
semanticscholar   +1 more source

Nonlinear generalized Jordan (σ, Γ)-derivations on triangular algebras

Special Matrices, 2018
Let R be a commutative ring with identity element, A and B be unital algebras over R and let M be (A,B)-bimodule which is faithful as a left A-module and also faithful as a right B-module.
Alkenani Ahmad N., Ashraf Mohammad, Jabeen Aisha   +2 more
doaj   +1 more source

Strong commutativity preserving generalized derivations on triangular rings

, 2014
Let U = Tri(A,M,B) be a triangular ring such that either A or B has no nonzero central ideals. It is shown that every pair of strong commutativity preserving generalized derivations g1,g2 of U (i.e., [g1(x),g2(y)] = [x,y] for all x,y ∈U ) is of the form ...
He Yuan, Yao Wang, Yu Wang, Yiqiu Du
semanticscholar   +1 more source

On Jordan triple (σ,τ)-higher derivation of triangular algebra

Special Matrices, 2018
Let R be a commutative ring with unity, A = Tri(A,M,B) be a triangular algebra consisting of unital algebras A,B and (A,B)-bimodule M which is faithful as a left A-module and also as a right B-module.
Ashraf Mohammad, Jabeen Aisha, Parveen Nazia   +2 more
doaj   +1 more source

Projective dimension and symmetric algebra of graph ideals

, 2012
In this note lower bounds for the projective dimension of edge ideals are determined and the integrality of the symmetric algebra of these ideals is studied for some classes of simple graphs.
Maurizio Imbesi
semanticscholar   +1 more source