Results 281 to 290 of about 3,712 (309)
Some of the next articles are maybe not open access.
Generalized Jordan Derivations
2001We 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.
openaire +1 more source
Jordan higher derivations, a new approach
2022Summary: 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=
openaire +2 more sources
Notes on Jordan (σ, τ)*-derivations and Jordan triple (σ, τ)*-derivations
Aequationes mathematicae, 2012Let 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
openaire +1 more source
JORDAN *-DERIVATIONS AND QUADRATIC JORDAN *-DERIVATIONS ON REAL C*-ALGEBRAS AND REAL JC*-ALGEBRAS
International Journal of Geometric Methods in Modern Physics, 2013In this work, we introduce quadratic Jordan *-derivations on real C*-algebras and real JC*-algebras and prove the Hyers–Ulam stability of Jordan *-derivations and of quadratic Jordan *-derivations on real C*-algebras and real JC*-algebras. We also establish the superstability of such derivations on real C*-algebras and real JC*-algebras by using a ...
Bodaghi, Abasalt, Park, Choonkil
openaire +1 more source
2016
Let \(R\) be a ring and \(X\) be a left \(R\)-module such that \(aRx = 0\), where \(a \in R\) and \(x \in X\), implies \(a = 0\) or \(x = 0\). Suppose there exists a nonzero additive map \(D : R \to X\) satisfying \(D(a^ 2) = 2aD(a)\) for every \(a \in R\) (such maps are called Jordan left derivations). \textit{J. Vukman} and the reviewer [Proc.
openaire +2 more sources
Let \(R\) be a ring and \(X\) be a left \(R\)-module such that \(aRx = 0\), where \(a \in R\) and \(x \in X\), implies \(a = 0\) or \(x = 0\). Suppose there exists a nonzero additive map \(D : R \to X\) satisfying \(D(a^ 2) = 2aD(a)\) for every \(a \in R\) (such maps are called Jordan left derivations). \textit{J. Vukman} and the reviewer [Proc.
openaire +2 more sources
On the norm of Jordan \(*\)-derivations
2020In this paper, the authors are interested in the norm of the inner Jordan *-derivation acting on the Banach algebra of all bounded linear operators. Using the maximal numerical range, the authors give some lower bounds.
openaire +2 more sources
Notes on Jordan \((\sigma,\tau)^*\)-derivations and Jordan triple \((\sigma,\tau)^*\)-derivations.
2013WOS ...
Golbasi, Oznur, Koc, Emine
openaire +3 more sources
Jordan derivable mappings on $$B(H)$$
Acta Mathematica HungaricaLet \(H\) be a Hilbert space. In this paper, sufficient conditions are given for the existence of Jordan derivations and Jordan generalized derivations over \(B(H)\). The following is the main result. \par Theorem. Let \(H\) be a real or complex Hilbert space with \(\operatorname{dim}(H)\ge 2\) and \(\Omega\in B(H)\) be given.
Chen, L., Guo, F., Qin, Z.-J.
openaire +2 more sources
Acceptance and attitudes toward COVID-19 vaccines: A cross-sectional study from Jordan
PLoS ONE, 2021Tamam El-Elimat +2 more
exaly