Results 321 to 330 of about 4,914,484 (359)

On the structure of generalized Jordan *-derivations of prime rings

, 2020
Let be a noncommutative prime ring with involution and let be the maximal symmetric ring of quotients of In the present paper, we describe the structure of generalized Jordan *-derivations, i.e., additive mappings satisfying for all where d is an ...
N. Dar, Shakir Ali
semanticscholar   +1 more source

Generalized Jordan Derivations

2001
We define a notion of generalized Jordan (resp. Lie) derivations and give some elementary properties of generalized Jordan (resp. Lie) derivations. These categorical results correspond to the results of generalized derivations in [N]. Moreover, we extend Herstein’s result of Jordan derivations on a prime ring to generalized Jordan derivations.
openaire   +2 more sources

JORDAN *-DERIVATIONS OF PRIME RINGS

Journal of Algebra and Its Applications, 2014
Let R be a prime ring, which is not commutative, with involution * and with Qms(R) the maximal symmetric ring of quotients of R. An additive map δ : R → R is called a Jordan *-derivation if δ(x2) = δ(x)x* + xδ(x) for all x ∈ R. A Jordan *-derivation of R is called X-inner if it is of the form x ↦ xa - ax* for x ∈ R, where a ∈ Qms(R).
Yiqiang Zhou, Tsiu-Kwen Lee
openaire   +2 more sources

On n-Jordan derivations in the sense of Herstein

RACSAM, 2023
M. Rostami, A. Alinejad, H. Khodaei
semanticscholar   +1 more source

Additivity of Jordan Derivations on Jordan Algebras with Idempotents

Bulletin of the Iranian Mathematical Society, 2022
B. Ferreira, A. Fošner, Gabriela C. Moraes   +2 more
semanticscholar   +1 more source

Jordan Derivations of Reflexive Algebras

Integral Equations and Operator Theory, 2010
Let \({\mathcal L}\) be a subspace lattice on a Banach space X and suppose that \({\vee\{L\in\mathcal L: L_- (0)\}=(0)}\) . Then each Jordan derivation from Alg\({\mathcal L}\) into B(X) is a derivation. This result can apply to completely distributive subspace lattice algebras, \({\mathcal J}\) -subspace lattice algebras and reflexive algebras with ...
openaire   +2 more sources

Generalized Derivations and Generalized Jordan Derivations of Quaternion Rings

, 2021
H. Ghahramani, M. N. Ghosseiriand, L. H. Zadeh   +2 more
semanticscholar   +1 more source

Jordan *-derivation pairs and quadratic functionals on modules over *-rings

, 1996
B. Zalar
semanticscholar   +1 more source

Jordan *-derivation pairs and quadratic functionals on modules over *-rings

, 1997
B. Zalar
semanticscholar   +1 more source

Equations arising from Jordan *-derivation pairs

, 2004
D. Ilišević
semanticscholar   +1 more source