Results 11 to 20 of about 79,501 (322)
Jordan triple (α,β)-higher ∗-derivations on semiprime rings [PDF]
Demonstratio Mathematica, 2023 In this article, we define the following: Let N0{{\mathbb{N}}}_{0} be the set of all nonnegative integers and D=(di)i∈N0D={\left({d}_{i})}_{i\in {{\mathbb{N}}}_{0}} a family of additive mappings of a ∗\ast -ring RR such that d0=idR{d}_{0}=i{d}_{R}. DD is
Ezzat O. H.
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Symmetry and Self-Duality in Categories of Probabilistic Models [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 This note adds to the recent spate of derivations of the probabilistic apparatus of finite-dimensional quantum theory from various axiomatic packages. We offer two different axiomatic packages that lead easily to the Jordan algebraic structure of finite ...
Alexander Wilce
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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
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Characterization of Non-Linear Bi-Skew Jordan n-Derivations on Prime ∗-Algebras [PDF]
Axioms, 2023 Let A be a prime *-algebra. A product defined as U•V=UV∗+VU∗ for any U,V∈A, is called a bi-skew Jordan product. A map ξ:A→A, defined as ξpnU1,U2,⋯,Un=∑k=1npnU1,U2,...,Uk−1,ξ(Uk),Uk+1,⋯,Un for all U1,U2,...,Un∈A, is called a non-linear bi-skew Jordan n ...
Asma Ali, Amal S. Alali, Mohd Tasleem
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Jordan Derivations and Lie derivations on Path Algebras [PDF]
Bulletin of the Iranian Mathematical Society, 2012 Without the faithful assumption, we prove that every Jordan derivation on a class of path algebras of quivers without oriented cycles is a derivation and that every Lie derivation on such kinds of algebras is of the standard form.
Yanbo Li, Feng Wei
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Jordan semi-triple derivations and Jordan centralizers on generalized quaternion algebras
AIMS Mathematics, 2023 In this paper, we investigate Jordan semi-triple derivations and Jordan centralizers on generalized quaternion algebras over the field of real numbers. We prove that every Jordan semi-triple derivation on generalized quaternion algebras over the field of
Ai-qun Ma, Lin Chen, Zijie Qin
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On Functional Inequalities Originating from Module Jordan Left Derivations
Journal of Inequalities and Applications, 2008 We first examine the generalized Hyers-Ulam stability of functional inequality associated with module Jordan left derivation (resp., module Jordan derivation). Secondly, we study the functional inequality with linear Jordan left derivation (resp., linear
Ick-Soon Chang +2 more
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Generalized Jordan N-Derivations of Unital Algebras with Idempotents
Journal of Mathematics, 2021 Let A be a unital algebra with idempotent e over a 2-torsionfree unital commutative ring ℛ and S:A⟶A be an arbitrary generalized Jordan n-derivation associated with a Jordan n-derivation J.
Xinfeng Liang
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Lie triple derivations of dihedron algebra
Frontiers in Physics, 2023 Let K be a 2-torsion free unital ring and D(K) be dihedron algebra over K. In the present article, we prove that every Lie triple derivation of D(K) can be written as the sum of the Lie triple derivation of K, Jordan triple derivation of K, and some ...
Minahal Arshad, Muhammad Mobeen Munir
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Jordan and Jordan Higher All-derivable Points of Some Algebras [PDF]
Linear and Multilinear Algebra, 2012 In this paper, we characterize Jordan derivable mappings in terms of Peirce decomposition and determine Jordan all-derivable points for some general bimodules. Then we generalize the results to the case of Jordan higher derivable mappings. An immediate application of our main results shows that for a nest $\mathcal{N}$ on a Banach $X$ with the ...
Jiankui Li, Zhidong Pan, Qihua Shen
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