Results 81 to 90 of about 946 (186)

SUBJECT «NUMBER SYSTEMS» IN TWO-LEVELED FORMAT PREPARATION TEACHERS OF MATHEMATICS

open access: yesОбразование 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
doaj   +1 more source

Hilbert Space Structure Induced by Quantum Probes

open access: yesProceedings, 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
doaj   +1 more source

Operator Commutativity in Jordan algebras [PDF]

open access: yesProceedings 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 ...
openaire   +1 more source

Hom-structures on semi-simple Lie algebras

open access: yesOpen 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
doaj   +1 more source

Prime Jordan P.I. Algebras with nonzero socle and Jordan division algebras

open access: yesJournal 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
openaire   +2 more sources

Higher Polynomial Identities for Mutations of Associative Algebras. [PDF]

open access: yesResults Math, 2023
Bremner MR, Brox J, Sánchez-Ortega J.
europepmc   +1 more source

Invertibility-preserving maps of C∗-algebras with real rank zero

open access: yesAbstract and Applied Analysis, 2005
In 1996, Harris and Kadison posed the following problem: show that a linear bijection between C∗-algebras that preserves the identity and the set of invertible elements is a Jordan isomorphism. In this paper, we show that if A and B are semisimple Banach
Istvan Kovacs
doaj   +1 more source

Colour Algebras over Rings

open access: yesAxioms
Colour algebras are noncommutative Jordan algebras and closely related to octonion algebras. They initially emerged in physics since the multiplication of a colour algebra over the real or complex numbers describes the colour symmetry of the Gell–Mann ...
Susanne Pumplün
doaj   +1 more source

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