Results 101 to 110 of about 79,275 (247)
The Characterization of Generalized Jordan Centralizers on Triangular Algebras
Journal of Function Spaces, 2018 In this paper, it is shown that if T=Tri(A,M,B) is a triangular algebra and ϕ is an additive operator on T such that (m+n+k+l)ϕ(T2)-(mϕ(T)T+nTϕ(T)+kϕ(I)T2+lT2ϕ(I))∈FI for any T∈T, then ϕ is a centralizer. It follows that an (m,n)- Jordan centralizer on a
Quanyuan Chen +2 more
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Operator Commutativity in Jordan algebras [PDF]
Proceedings of the American Mathematical Society, 1952 If a and b are elements of a Jordan algebra \( \mathfrak{A} \) we say that a and b operator-commute or o-commute if the multiplications R a and R b commute. Here R a is the linear transformation x→xa = ax of \( \mathfrak{A} \). The notion of o-commutativity has been introduced by Jordan, Wigner, and von Neumann [4] who called this concept simply ...
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Hilbert Space Structure Induced by Quantum Probes
Proceedings, 2019 It is unrealistic to control all of the degrees of freedom of a high-dimensional quantum system. Here, we consider a scenario where our direct access is restricted to a small subsystem S that is constantly interacting with the rest of the system E.
Go Kato, Masaki Owari, Koji Maruyama
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Prime Jordan P.I. Algebras with nonzero socle and Jordan division algebras
Journal of Algebra, 1980 In [ll, p. 4291, Jacobson proposed the problem of establishing a P.I. theory for Jordan rings. In particular he asks whether every simple P.I. Jordan algebra is either finite dimensional or gotten from a nondegenerate quadratic form. Jordan P.I. rings were then investigated by Smith and Rowen [15-17, and their bibliographies] among others.
Osborn, J.Marshall, Racine, Michel
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On Jordan triple (σ,τ)-higher derivation of triangular algebra
Special Matrices, 2018 Let R be a commutative ring with unity, A = Tri(A,M,B) be a triangular algebra consisting of unital algebras A,B and (A,B)-bimodule M which is faithful as a left A-module and also as a right B-module.
Ashraf Mohammad +2 more
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SUBJECT «NUMBER SYSTEMS» IN TWO-LEVELED FORMAT PREPARATION TEACHERS OF MATHEMATICS
Образование и наука, 2017 The aim of this article is to analyze the format of a two-leveled training – bachelor and master – future teachers of mathematics from the point of view of the content of mathematical material, which is to develop prospective teachers of mathematics at ...
V. I. Igoshin
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Hom-structures on semi-simple Lie algebras
Open Mathematics, 2015 A Hom-structure on a Lie algebra (g,[,]) is a linear map σ W g σ g which satisfies the Hom-Jacobi identity: [σ(x), [y,z]] + [σ(y), [z,x]] + [σ(z),[x,y]] = 0 for all x; y; z ∈ g. A Hom-structure is referred to as multiplicative if it is also a Lie algebra
Xie Wenjuan, Jin Quanqin, Liu Wende
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Structure and Representations of Noncommutative Jordan Algebras [PDF]
, 1966 Kevin McCrimmon
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Degenerations of complex associative algebras of dimension three via Lie and Jordan algebras [PDF]
, 2022 N. M. Ivanova, C. A. Pallikaros
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