Jordan derivations of prime rings with characteristic two

Lee, Tsiu-Kwen; Lin, Jheng-Huei

doi:10.1016/j.laa.2014.08.006

Cited by 17 publications

(5 citation statements)

References 12 publications

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“…for all x ∈ J. The FI methods can be applied to Jordan derivations and some related maps in a similar fashion as to Jordan homomorphisms, see [53,92,94] and references therein. We will therefore skip this topic and move to another type of seemingly similar maps, which, however, must be treated in a different way.…”

Section: The Proof Is Based On Defining the Mapmentioning

confidence: 99%

Functional identities and their applications

Brešar

2023

Bull. Math. Sci.

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Section: The Proof Is Based On Defining the Mapmentioning

confidence: 99%

Functional identities and their applications

Brešar

2023

Bull. Math. Sci.

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“…Moreover, we also study the structure of generalized (Jordan) semiderivations of prime rings. Our study was motivated by [2,4,7,8]. To keep the arguments neat, we will focus on the context of non-commutative prime rings.…”

Section: D(x Yx) = D(x)yx + Xd(y)x + X Yd(x) For All X Y ∈ R ( †)mentioning

confidence: 99%

Functional identities and Jordan σ-derivations

Lee

2015

Linear and Multilinear Algebra

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“…Zhang and Yu [4] proved that every Jordan derivation on triangular algebras is a derivation. Jordan derivations on some rings or algebras are also studied by other authors [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Jordan {g,h}-derivations on triangular algebras

Kong

Zhang

2020

Open Mathematics

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In this article, we give a sufficient and necessary condition for every Jordan {g,h}-derivation to be a {g,h}-derivation on triangular algebras. As an application, we prove that every Jordan {g,h}-derivation on \tau ({\mathscr{N}}) is a {g,h}-derivation if and only if \dim {0}_{+}\ne 1 or \dim {H}_{-}^{\perp }\ne 1 , where {\mathscr{N}} is a non-trivial nest on a complex separable Hilbert space H and \tau ({\mathscr{N}}) is the associated nest algebra.

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Jordan derivations of prime rings with characteristic two

Cited by 17 publications

References 12 publications

Functional identities and their applications

Functional identities and their applications

Functional identities and Jordan σ-derivations

Jordan {g,h}-derivations on triangular algebras

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