Results 61 to 70 of about 789 (162)

Jordan derivations revisited

Mathematical Proceedings of the Cambridge Philosophical Society, 2005
Let d be a Jordan derivation from a ring A into an A-bimodule M. Our main result shows that the restriction of d to the ideal of A generated by certain higher commutators of A is a derivation. This general statement is used for proving that under various additional conditions d must be a derivation on A.
openaire   +2 more sources

Nonlinear Mixed bi-Skew Jordan-Type and Skew Jordan Higher Derivations on ∗-Algebras

Axioms
Let A be a unital ∗-algebra over the complex field C, and let Ψ={ψm}m∈N be a nonlinear mixed bi-skew Jordan-type and skew Jordan higher derivation satisfies the relation ψm(L1⋄L2⋄…⋄Ln−1•Ln)=∑r1+…+rn=mψr1(L1)⋄…⋄ψrn−1(Ln−1)•ψrn(Ln), where L•N=LN+NL∗ and L ...
Dandan Ren, Jing Zhang, Xinfeng Liang, Yujiao Sun   +3 more
doaj   +1 more source

Jordan derivations of unital algebras with idempotents

Linear Algebra and its Applications, 2012
Let \(A\) be a unital algebra over a commutative unital ring with \(e\in A\) a nontrivial idempotent and set \(f=1-e\). Assume that each of \(eAf\) and \(fAe\) is a faithful module for both \(eAe\) and \(fAf\), on the appropriate sides. A Jordan derivation \(D\) of \(A\) is called `singular' if \(D(eAe)=0=D(fAf)\), \(D(eAf)\subseteq fAe\), and \(D(fAe)\
Benkovič, Dominik, Širovnik, Nejc
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Nonlinear Mixed Left Bi-Skew Jordan and Right Jordan-Type Derivations on ∗-Algebra

Mathematics
Consider a unital ∗-algebra A defined over the complex field C. In this work, we establish that a mapping, referred to as a nonlinear mixed left bi-skew Jordan and right Jordan n-derivation, reduces to an additive ∗-derivation under certain conditions ...
Amal S. Alali, Md Arshad Madni
doaj   +1 more source

Nonlinear Mixed Skew Jordan-Type Higher Derivations on ∗-Algebras

Axioms
Let A be a unital ∗-algebra containing a nontrivial projection P. In this paper, we introduce the notion of a nonlinear mixed skew Jordan-type derivation (that is, pnS1,S2,S3,⋯,Sn=S1⋄S2•S3•⋯•Sn, where S⋄K=S*K+K*S and S•K=SK+KS* for all S,K∈A) and show ...
Yimeng Yue, Liang Kong, Fenhong Li, Fugang Chao   +3 more
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Differential Operators and Differential Calculus on $delta-$Hom-Jordan-Lie Superalgebras

پژوهش‌های ریاضی, 2020
Introduction Hom-algebraic ‎structures ‎appeared ‎first ‎as a‎ ‎generalization ‎of ‎Lie ‎algebras ‎in [1,3],  ‎where ‎the ‎authors ‎studied ‎‎q-deformations ‎of ‎Witt ‎and ‎Virasoro ‎algebras. A‎ ‎general ‎study ‎and ‎construction ‎of ‎Hom-Lie ‎algebras ‎
Valiollah Khalili
doaj  

Derivations of Jordan algebras [PDF]

Pacific Journal of Mathematics, 1959
openaire   +3 more sources

Weak right η-centralizers of prime rings

Journal of Taibah University for Science
This work encompasses the study of certain weak maps termed as weak right η-centralizers defined on [Formula: see text] a noncommutative prime ring to [Formula: see text]. The first section provides an overview of the motivation behind our work.
Mohammad Aslam Siddeeque, Nazim Khan, Ali Ahmed Abdullah   +2 more
doaj   +1 more source

Nonlinear Mixed Bi-Skew Jordan-Type Higher Derivations on ∗-Algebras

Mathematics
Let A be a unital ∗-algebra containing a nontrivial projection. In this paper, we show that every nonlinear mixed bi-skew Jordan-type higher derivation on A is an additive higher ∗-derivation.
Yimeng Yue, Liang Kong, Fenhong Li, Fugang Chao   +3 more
doaj   +1 more source

Genetic Algebras Associated with ξ^(a)-Quadratic Stochastic Operators. [PDF]

Entropy (Basel), 2023
Mukhamedov F, Qaralleh I, Qaisar T, Hasan MA.   +3 more
europepmc   +1 more source