Results 1 to 10 of about 555,775 (250)

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   +4 more sources

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

Jordan left (?,?) -derivations Of ?-prime rings [PDF]

مجلة بغداد للعلوم, 2011
It was known that every left (?,?) -derivation is a Jordan left (?,?) – derivation on ?-prime rings but the converse need not be true. In this paper we give conditions to the converse to be true.
Baghdad Science Journal
doaj   +2 more sources

Lie triple derivation and Lie bi-derivation on quaternion rings [PDF]

Miskolc Mathematical Notes
In this study, we prove the existence of the central Lie bi-derivation for the ring with identity on the quaternion ring. We also describe the triple Lie derivation using the Jordan derivation on the aforementioned ring.
Mohd Arif Raza, Aisha Jabeen, Tahani Al-Sobhi   +2 more
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On Jordan mappings of inverse semirings

Open Mathematics, 2017
In this paper, the notions of Jordan homomorphism and Jordan derivation of inverse semirings are introduced. A few results of Herstein and Brešar on Jordan homomorphisms and Jordan derivations of rings are generalized in the setting of inverse semirings.
Shafiq Sara, Aslam Muhammad
doaj   +2 more sources

Notes on Jordan (σ, τ)*-Derivations and Jordan Triple (σ, τ)*-Derivations

Aequationes Mathematicae, 2013
Let R be a 2-torsion free semiprime *-ring, sigma, tau two epimorphisms of R and f, d : R -> R two additive mappings. In this paper we prove the following results: (i) d is a Jordan (sigma, tau)*-derivation if and only if d is a Jordan triple (sigma, tau)
Emine Koc Sogutcu, Oznur Gölbaşi
exaly   +2 more sources

A Note on Jordan Derivations of Triangular Rings

Aequationes Mathematicae, 2020
In this note we prove that every Jordan derivation on a triangular ring is a derivation. Moreover, we show that, under some conditions, every Jordan derivation on a 2-torsion free ring is a ...
Wu Jing, Ajda Fosner
exaly   +1 more source

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
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