Results 31 to 40 of about 789 (162)
(σ,τ )– (J,R) – DERIVATIONS ON JORDAN IDEALS
مجلة بغداد للعلوم, 2009 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
doaj +1 more source
Quadratic functionals and Jordan *-derivations [PDF]
Studia Mathematica, 1990 Let \(A\) be a real Banach \(*\)-algebra with identity. A Jordan \(*\)- derivation on \(A\) is a function \(D: A\to A\), not necessarily linear, with the properties \[ D(a+b)=D(a)+D(b), \qquad D(a^ 2)=aD(a)+D(a)a^* \] for all \(a,b\in a\). Now let \(X\) be a real vector space which is also an \(A\)- module.
openaire +2 more sources
Centrally Extended Jordan (∗)-Derivations Centralizing Symmetric or Skew Elements
Axioms, 2023 Let A be a non-commutative prime ring with involution ∗, of characteristic ≠2(and3), with Z as the center of A and Π a mapping Π:A→A such that [Π(x),x]∈Z for all (skew) symmetric elements x∈A.
Amal S. Alali +2 more
doaj +1 more source
On generalized Jordan ∗-derivation in rings
Journal of the Egyptian Mathematical Society, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ur Rehman, Nadeem +2 more
openaire +2 more sources
Jordan left (?,?) -derivations Of ?-prime rings
مجلة بغداد للعلوم, 2011 It was known that every left (?,?) -derivation is a Jordan left (?,?) – derivation on ?-prime rings but the converse need not be true. In this paper we give conditions to the converse to be true.
Baghdad Science Journal
doaj +1 more source
Jordan {g,h}-derivations on triangular algebras
Open Mathematics, 2020 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 τ(N)\tau ({\mathscr{N}}) is a {g,h ...
Kong Liang, Zhang Jianhua
doaj +1 more source
Hyers–Ulam Stability of Solution for Generalized Lie Bracket of Derivations
Journal of MathematicsIn this work, we present a new concept of additive-Jensen s-functional equations, where s is a constant complex number with ...
Vahid Keshavarz, Mohammad Taghi Heydari
doaj +1 more source
On superstability of derivations in Banach algebras
Open MathematicsIn this article, we consider some types of derivations in Banach algebras. In detail, we investigate the question of whether the superstability can be achieved under some conditions for some types of derivations, such as Jordan derivations, generalized ...
Chang Ick-Soon, Kim Hark-Mahn, Roh Jaiok
doaj +1 more source
σ-derivations on generalized matrix algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 Let be a commutative ring with unity, 𝒜, be -algebras, be (𝒜, )-bimodule and 𝒩 be (, 𝒜)-bimodule. The -algebra 𝒢 = 𝒢(𝒜, , 𝒩, ) is a generalized matrix algebra defined by the Morita context (𝒜, , , 𝒩, ξ𝒩, Ω𝒩).
Jabeen Aisha +2 more
doaj +1 more source
On the structure of Jordan *-derivations [PDF]
Colloquium Mathematicum, 1992 Let \(\mathbb{R}\) be a \(*\)-ring. An additive mapping \(E:\mathbb{R}\to\mathbb{R}\) is called a Jordan \(*\)-derivation if \[ E(x^ 2)= E(x)x^*+ xE(x) \qquad \text{for all } x\in\mathbb{R}. \] Examples of such mappings are given by \(x\to ax^*-xa\), \(a\) is a fixed element of \(\mathbb{R}\), which are called inner Jordan \(*\)-derivations.
Brešar, Matej, Zalar, Borut
openaire +2 more sources