Results 91 to 100 of about 3,700 (194)
On Jordan ∗-mappings in rings with involution
, 2016 The objective of this paper is to study Jordan ∗-mappings in rings with involution ∗. In particular, we prove that if R is a prime ring with involution ∗, of characteristic different from 2 and D is a nonzero Jordan ∗-derivation of R such that [D(x),x]=0,
Dar, Nadeem Ahmad +2 more
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On a ternary generalization of Jordan algebras
, 2018 Based on the relation between the notions of Lie triple systems and Jordan algebras, we introduce the n-ary Jordan algebras, an n-ary generalization of Jordan algebras obtained via the generalization of the following property [R_x; R_y] \in Der (A ...
Kaygorodov, Ivan +5 more
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A note on Jordan derivations of triangular rings
, 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 ...
Fošner, Ajda, Jing, Wu
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ON JORDAN GENERALIZED HIGHER BI-DERIVATIONS ON PRIME GAMMA RINGS
, 2016 In this study , we define the concepts of a generalized higher bi-derivation , Jordan generalized higher bi-derivation and Jordan triple generalized higher bi-derivation on Г-rings and show that a Jordan generalized higher bi-derivation on 2-torsion ...
Marir, Ahmed M., Salih, Salah M.
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Jordan Left Derivations of Two Torsion Free ГM – Modules [PDF]
, 2009 13-19Let M be a Г-ring and X be a 2-torsionfree left ГM-module. The purpose of this paper is to investigate Jordan left derivations on M considering aαbβc=aβbαc, for every a,b,c∈M and α,β∈Г . We show that the existence of a nonzero Jordan left derivation
Halder, Amitabh Kumer, Paul, A C
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Commutativity in Prime Gamma Rings with Jordan Left Derivations
, 2012 Let M be a 2–torsion free prime ?–ring and let d: M?M be a Jordan left derivation . In this article, we show that under a suitable condition every nonzero Jordan left derivation on M induces the commutativity of M and accordingly d is a left derivation
Paul, A.C., Rahman, Md. Mizanor
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Nonlinear η-∗-Jordan n-Derivation on ∗-Algebras
MathematicsLet A be a unital ∗-algebra with the unit I over the complex field C and let η≠0,±1 be a complex number. For any A,B∈A, A⋄ηB=AB+ηBA* is referred to as the η-Jordan ∗-product. Suppose that n≥3 is a fixed positive integer.
Shengsheng Wu +2 more
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Jordan left derivations on completely prime gamma rings
, 2002 Bu çalışmada $\Gamma$ halkaları üzerinde Jordan sol türev tanımı verilmiş ve tamamen (completely) asal bir $\Gamma$ halkası üzerinde bir Jordan sol türev varsa,$\Gamma$ halkasının belirli bir koşulu sağlaması halinde değişme özelliğine sahip olduğu ...
Y. Ceven
core
Jordan derivations of full matrix algebras
, 2009 Let A be a unital associative ring and M be a 2-torsion free A-bimodule. Using an elementary and constructive method we show that every Jordan derivation from Mn(A) into Mn(M) is a ...
Alizadeh, R.
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