Results 141 to 150 of about 789 (162)

Notes on Jordan (σ, τ)*-derivations and Jordan triple (σ, τ)*-derivations

Aequationes mathematicae, 2012
Let R be a 2-torsion free semiprime *-ring, σ, τ 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 (σ, τ)*-derivation if and only if d is a Jordan triple (σ, τ)*-derivation. (ii) f is a generalized Jordan (σ, τ)*-derivation if and only if f is a generalized Jordan triple (σ, τ)*
Öznur Gölbaşı, Emine Koç
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Characterization of Jordan homomorphisms and Jordan derivations

Summary: We show that if \(f:A\to B\) is a continuous linear map between Banach algebras satisfying \(f(a\circ b)=f(a)\circ f(b)\) for all \(a,b\in A\) with \(a\circ b=e_A\) or \(ab=ba=e_A\), then \(f\) is a Jordan homomorphism. It is also proved that if \(\delta:A\to X\) is a continuous linear map satisfying \(\delta(a\circ b)=\delta(a)b+a\delta(b ...
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Jordan higher derivations, a new approach

2022
Summary: Let \(\mathcal{A}\) be a unital algebra over a 2-torsion free commutative ring \(\mathcal{R}\) and \(\mathcal{M}\) be a unital \(\mathcal{A}\)-bimodule. We show that every Jordan higher derivation \(D=\{D_n\}_{n\in \mathbb{N}_0}\) from the trivial extension \(\mathcal{A} \ltimes \mathcal{M}\) into itself is a higher derivation, if \(PD_1(QXP)Q=
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Jordan decomposable derivations

Communications in Algebra, 1988
A derivation is called Jordan decomposable i-f it can be decomposed into a sum of commuting nil and semi-simple parts. In this paper, we study a subfamily of such derivations, the strongly decomposable derivations. After establishing some basic properties, we present an intrinsic criterion for such a derivation.
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Notes on Jordan \((\sigma,\tau)^*\)-derivations and Jordan triple \((\sigma,\tau)^*\)-derivations.

2013
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Golbasi, Oznur, Koc, Emine
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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.
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Nonlinear *-Jordan-type derivations on *-algebras

Rocky Mountain Journal of Mathematics, 2021
Changjing Li
exaly  

On generalized Jordan left \(*\)-derivations in rings.

2012
Summary: First we define the notion of Jordan left \(*\)-derivation and generalized Jordan left \(*\)-derivation on a \(*\)-ring \(R\) and then prove the following: Let \(n\geq 1\) be a fixed integer and \(R\) be an \((n+1)!\)-torsion free \(*\)-ring with identity element \(e\). If \(F,d\colon R\to R\) are two additive mappings satisfying \(F(x^{n+1})=(
A. Z. Ansari, SCUDO, GIOVANNI
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Additive Jordan derivations of reflexive algebras

Journal of Mathematical Analysis and Applications, 2007
Fangyan Lu
exaly  

Non-linear ξ-Jordan *-derivations on von Neumann algebras

Linear and Multilinear Algebra, 2014
Changjing Li, Xiaochun Fang, Fangyan Lu   +2 more
exaly