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Nearly generalized Jordan derivations [PDF]
Abstract Let A be an algebra and let X be an A-bimodule. A ∂-linear mapping d: A → X is called a generalized Jordan derivation if there exists a Jordan derivation (in the usual sense) δ: A → X such that d(a 2) = ad(a)+δ(a)a for all a ∈ A.
Eshaghi Gordji, M., Ghobadipour, N.
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Derivation Requirements on Prime Near-Rings for Commutative Rings
Near-ring is an extension of ring without having to fulfill a commutative of the addition operations and left distributive of the addition and multiplication operations It has been found that some theorems related to a prime near-rings are commutative ...
Dian Winda Setyawati +2 more
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Lie triple derivations of dihedron algebra
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
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On Jordan ideals with left derivations in 3-prime near-rings
We will extend in this paper some results about commutativity of Jordan ideals proved in [2] and [6]. However, we will consider left derivations instead of derivations, which is enough to get good results in relation to the structure of near-rings.
A. En-guady, A. Boua
doaj
Unification Theories: New Results and Examples
This paper is a continuation of a previous article that appeared in AXIOMS in 2018. A Euler’s formula for hyperbolic functions is considered a consequence of a unifying point of view.
Florin F. Nichita
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Jordan Derivations of Prime Rings [PDF]
A Jordan derivation of an associative ring \(A\) is a derivation for \(A^+\), the Jordan ring obtained from \(A\) by replacing its associative multiplication by \(a\circ b= ab+ba\). It is proved that if \(A\) is a prime ring of characteristic not two, then any Jordan derivation of \(A\) is an ordinary (associative) derivation. For characteristic 2, the
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(σ,τ )– (J,R) – DERIVATIONS ON JORDAN IDEALS
Let R be an associative ring with center Z(R). A well known results proved by Bell and kappe concering derivations in prime rings have been extensively studied by many authors, several of these outhers extended these result for a - derivation like ...
Ikram A. Saed
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Local triple derivations on C*-algebras and JB*-triples
In a first result we prove that every continuous local triple derivation on a JB$^*$-triple is a triple derivation. We also give an automatic continuity result, that is, we show that local triple derivations on a JB$^*$-triple are continuous even if not ...
Burgos, María +2 more
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*-Jordan Semi-Triple Derivable Mappings
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Chen, Lin, Zhang, Jianhua
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ABSTRACT Chimeric antigen receptor (CAR) T‐cell therapy has been investigated in neurological diseases, encompassing both central nervous system malignancies and autoimmune disorders, thereby extending its application beyond hematological cancers.
Omar Alqaisi +5 more
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