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Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra [PDF]

International Journal of Mathematics and Mathematical Sciences, 2005
We investigate Jordan automorphisms and Jordan derivations of a class of algebras called generalized triangular matrix algebras. We prove that any Jordan automorphism on such an algebra is either an automorphism or an antiautomorphism and any Jordan ...
Aiat Hadj Ahmed Driss, Ben Yakoub l'Moufadal   +1 more
doaj   +3 more sources

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.
Mohammad Ashraf, Aisha Jabeen, Nazia Parveen   +2 more
exaly   +2 more sources

CHARACTERIZATION OF JORDAN $\{g, h\}$-DERIVATIONS OVER MATRIX ALGEBRAS [PDF]

Journal of Algebraic Systems, 2023
In this article, we characterize $\{g, h\}$-derivation on the upper triangular matrix algebra $\mathcal{T}_n(C)$ and prove that every Jordan $\{g, h\}$-derivation over $\mathcal{T}_n(C)$ is a $\{g, h\}$-derivation under a certain condition, where $C$ is ...
Arindam Ghosh, Om Prakash
doaj   +1 more source

Generalized Jordan N-Derivations of Unital Algebras with Idempotents

Journal of Mathematics, 2021
Let A be a unital algebra with idempotent e over a 2-torsionfree unital commutative ring ℛ and S:A⟶A be an arbitrary generalized Jordan n-derivation associated with a Jordan n-derivation J.
Xinfeng Liang
doaj   +1 more source

Lie triple derivations of dihedron algebra

Frontiers in Physics, 2023
Let K be a 2-torsion free unital ring and D(K) be dihedron algebra over K. In the present article, we prove that every Lie triple derivation of D(K) can be written as the sum of the Lie triple derivation of K, Jordan triple derivation of K, and some ...
Minahal Arshad, Muhammad Mobeen Munir
doaj   +1 more source

On Functional Inequalities Originating from Module Jordan Left Derivations

Journal of Inequalities and Applications, 2008
We first examine the generalized Hyers-Ulam stability of functional inequality associated with module Jordan left derivation (resp., module Jordan derivation). Secondly, we study the functional inequality with linear Jordan left derivation (resp., linear
Ick-Soon Chang, Sheon-Young Kang, Hark-Mahn Kim   +2 more
doaj   +2 more sources

On Left s -Centralizers Of Jordan Ideals And Generalized Jordan Left (s ,t ) -Derivations Of Prime Rings [PDF]

Engineering and Technology Journal, 2011
In this paper we generalize the result of S. Ali and C. Heatinger on left s - centralizer of semiprime ring to Jordan ideal, we proved that if R is a 2-torsion free prime ring, U is a Jordan ideal of R and G is an additive mapping from R into itself ...
Abdulrahman H. Majeed, Anwar Khaleel Faraj   +1 more
doaj   +1 more source

Jordan Derivations and Lie Derivations on Path Algebras [PDF]

Bulletin of the Iranian Mathematical Society, 2018
Without the faithful assumption, we prove that every Jordan derivation on a class of path algebras of quivers without oriented cycles is a derivation and that every Lie derivation on such kinds of algebras is of the standard form.
Li, Y., Wei, F.
openaire   +3 more sources

Jordan triple (α,β)-higher ∗-derivations on semiprime rings

Demonstratio Mathematica, 2023
In this article, we define the following: Let N0{{\mathbb{N}}}_{0} be the set of all nonnegative integers and D=(di)i∈N0D={\left({d}_{i})}_{i\in {{\mathbb{N}}}_{0}} a family of additive mappings of a ∗\ast -ring RR such that d0=idR{d}_{0}=i{d}_{R}. DD is
Ezzat O. H.
doaj   +1 more source

JORDAN DERIVATIONS AND JORDAN LEFT DERIVATIONS OF BANACH ALGEBRAS

Communications of the Korean Mathematical Society, 2002
Summary: We obtain some results concerning Jordan derivations and Jordan left derivations mapping into the Jacobson radical. Our main result is the following: Let \(d\) be a Jordan derivation (resp. Jordan left derivation) of a complex Banach algebra \(A\). If \(d^2(x)=0\) for all \(x\in A\), then we have \(d(A)\subseteq\text{rad}(A)\).
Park, Kyoo-Hong, Jung, Yong-Soo
openaire   +3 more sources