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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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Jordan derivations on rings [PDF]
Proceedings of the American Mathematical Society, 1975 I. N. Herstein has shown that every Jordan derivation on a prime ring not of charactetistic 2 2 is a derivation.
J. M. Cusack
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Characterization of Non-Linear Bi-Skew Jordan n-Derivations on Prime ∗-Algebras
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 of incidence algebras [PDF]
Rocky Mountain Journal of Mathematics, 2015 8 pages, to appear in Rocky Mountain J ...
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ON JORDAN IDEALS AND JORDAN DERIVATIONS OF PRIME RINGS
Demonstratio Mathematica, 2004 A classical result by \textit{I. N. Herstein} [Proc. Am. Math. Soc. 8, 1104-1110 (1958; Zbl 0216.07202)] states that a Jordan derivation of a prime ring of characteristic not 2 is a derivation. The main result of the paper shows that the same is true on Jordan ideals of prime rings that are simultaneously subrings.
Ashraf, Mohammad, Nadeem-ur-Rehman
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Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero Products
Journal of Mathematics, 2022 Let A be a unital C∗-algebra and X be a unitary Banach A-bimodule. In this paper, we characterize continuous generalized derivations and generalized Jordan derivations as form D:A⟶X through the action on zero product.
Abbas Zivari-Kazempour, Abasalt Bodaghi
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On Generalized Left Derivation on Semiprime Rings [PDF]
Engineering and Technology Journal, 2016 Let R be a 2-torsion free semiprime ring. If R admits a generalizedleft derivation F associated with Jordan left derivation d, then R is commutative, if any one of the following conditions hold: (1) [d(x), F(y)] [x, y], (2) [d(x), F(y)] xoy, (3) d(x ...
A. Majeed, Shaima,a Yass, a B. Yass
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Some conditions under which Jordan derivations are zero
Journal of Taibah University for Science, 2017 In the current article, we obtain the following results: Let A be an algebra and P be a semi-prime ideal of A. Suppose that d:Aâ(A/P) is a Jordan derivation such that dim{d(a)|aâA}â¤1. If d(P)={0}, then d is zero.
Z. Jokar, A. Hosseini, A. Niknam
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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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On Higher N-Derivation Of Prime Rings
مجلة بغداد للعلوم, 2014 The main purpose of this work is to introduce the concept of higher N-derivation and study this concept into 2-torsion free prime ring we proved that:Let R be a prime ring of char.
Baghdad Science Journal
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