Results 321 to 330 of about 4,743,928 (359)
Some of the next articles are maybe not open access.
An Algorithmic Derivation of the Jordan Canonical Form
, 1983In this note the authors give a derivation of the Jordan Canonical form which is very algorithmic in nature. It requires no preparation other than the Schur decomposition and the solution of linear systems.
R. Fletcher, D. Sorensen
semanticscholar +1 more source
Jordan decomposable derivations
Communications in Algebra, 1988A derivation is called Jordan decomposable i-f it can be decomposed into a sum of commuting nil and semi-simple parts. In this paper, we study a subfamily of such derivations, the strongly decomposable derivations. After establishing some basic properties, we present an intrinsic criterion for such a derivation.
openaire +2 more sources
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 +2 more sources
JORDAN *-DERIVATIONS OF PRIME RINGS
Journal of Algebra and Its Applications, 2014Let R be a prime ring, which is not commutative, with involution * and with Qms(R) the maximal symmetric ring of quotients of R. An additive map δ : R → R is called a Jordan *-derivation if δ(x2) = δ(x)x* + xδ(x) for all x ∈ R. A Jordan *-derivation of R is called X-inner if it is of the form x ↦ xa - ax* for x ∈ R, where a ∈ Qms(R).
Yiqiang Zhou, Tsiu-Kwen Lee
openaire +2 more sources
On n-Jordan derivations in the sense of Herstein
RACSAM, 2023M. Rostami, A. Alinejad, H. Khodaei
semanticscholar +1 more source
Additivity of Jordan Derivations on Jordan Algebras with Idempotents
Bulletin of the Iranian Mathematical Society, 2022B. Ferreira +2 more
semanticscholar +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
Jordan Higher Derivations of Incidence Algebras
Bulletin of the Malaysian Mathematical Sciences Society, 2021Lizhen Chen, Zhankui Xiao
semanticscholar +1 more source
Jordan *-derivation pairs and quadratic functionals on modules over *-rings
, 1996B. Zalar
semanticscholar +1 more source
Generalized Derivations and Generalized Jordan Derivations of Quaternion Rings
, 2021H. Ghahramani +2 more
semanticscholar +1 more source