Results 21 to 30 of about 4,654,602 (342)
Nonlinear $\ast$-Jordan triple derivation on prime $\ast$-algebras [PDF]
Rocky Mountain Journal of Mathematics, 2019 Let $\mathcal{A}$ be a prime $\ast$-algebra and $\Phi$ preserves triple $\ast$-Jordan derivation on $\mathcal{A}$, that is, for every $A,B \in \mathcal{A}$, $$\Phi(A\diamond B \diamond C)=\Phi(A)\diamond B\diamond C+A\diamond \Phi(B)\diamond C+A\diamond ...
V. Darvish +3 more
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(m,n)-Jordan derivations [PDF]
Filomat, 2014 A subspace lattice L on H is called commutative subspace lattice if all projections in L commute pairwise. It is denoted by CSL. If L is a CSL, then algL is called a CSL algebra. Under the assumption m + n ? 0 where m,n are fixed integers, if ? is a mapping from L into itself satisfying the condition (m + n)?(A2) = 2m?(A)A + 2nA?(A) for all
Majeed, Asia, Ozel, Cenap
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Centrally Extended Jordan (∗)-Derivations Centralizing Symmetric or Skew Elements
Axioms, 2023 Let A be a non-commutative prime ring with involution ∗, of characteristic ≠2(and3), with Z as the center of A and Π a mapping Π:A→A such that [Π(x),x]∈Z for all (skew) symmetric elements x∈A.
Amal S. Alali +2 more
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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. This result is extended in this paper to the case of any ring in which 2 x = 0 2x = 0 implies x = 0 x = 0 and which is semiprime or ...
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On Left s -Centralizers Of Jordan Ideals And Generalized Jordan Left (s ,t ) -Derivations Of Prime Rings [PDF]
Engineering and Technology Journal, 2011 In this paper we generalize the result of S. Ali and C. Heatinger on left s - centralizer of semiprime ring to Jordan ideal, we proved that if R is a 2-torsion free prime ring, U is a Jordan ideal of R and G is an additive mapping from R into itself ...
Abdulrahman H. Majeed +1 more
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JORDAN DERIVATIONS AND JORDAN LEFT DERIVATIONS OF BANACH ALGEBRAS
Communications of the Korean Mathematical Society, 2002 In this paper we obtain some results concerning Jordan derivations and Jordan left derivations mapping into the Jacobson radical. Our main result is the following: Let d be a Jordan deriva- tion (resp. Jordan left derivation) of a complex Banach algebra A. If d 2 (x) = 0 for all x 2 A, then we have d(A) µ rad(A)
Yong-Soo Jung, Kyoo-Hong Park
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Jordan triple (α,β)-higher ∗-derivations on semiprime rings
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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From the Jordan Product to Riemannian Geometries on Classical and Quantum States [PDF]
Entropy, 2020 The Jordan product on the self-adjoint part of a finite-dimensional C*-algebra A is shown to give rise to Riemannian metric tensors on suitable manifolds of states on A, and the covariant derivative, the geodesics, the Riemann tensor, and the sectional ...
Florio M. Ciaglia +2 more
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Local derivations on Jordan triples [PDF]
Bulletin of the London Mathematical Society, 2013 R.V. Kadison defined the notion of local derivation on an algebra and proved that every continuous local derivation on a von Neumann algebra is a derivation (Kadison 1990). We provide the analogous result in the setting of Jordan triples.
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Jordan {g,h}-derivations on triangular algebras
Open Mathematics, 2020 In this article, we give a sufficient and necessary condition for every Jordan {g,h}-derivation to be a {g,h}-derivation on triangular algebras. As an application, we prove that every Jordan {g,h}-derivation on τ(N)\tau ({\mathscr{N}}) is a {g,h ...
Kong Liang, Zhang Jianhua
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