Results 111 to 120 of about 4,281 (128)

Noncommutative matrix jordan algebras, cayley-dickson algebras, and schafer's theorem¹

Communications in Algebra, 1995
We provide a construction of noncommutative Jordan algebras of degree two. The construction can be iterated, and we show that after the first few iterations no new derivations arise. The relationship between this iterative process and the Cayley-Dickson process is studied, and the result on deriva¬tions is used to obtain a generalization of Schafer's ...
Robert B. Brown, Nora C. Hopkins
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A Generalization of Degree Two Simple Finite-Dimensional Noncommutative Jordan Algebras

Canadian Journal of Mathematics, 1980
Let be an algebra over a field . For x, y, z in , write (x, y, z) = (xy)z – x(yz) and x-y = xy + yx. The attached algebra is the same vector space as , but the product of x and y is x · y. We aim to prove the following result.THEOREM 1. Let be a finite-dimensional, power-associative, simple algebra of degree two over a field of prime characteristic ...
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Noncommutative Jordan algebras a under the condition that A(+) is associative

Siberian Mathematical Journal, 1992
See the review in Zbl 0753.17003.
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Noncommutative Jordan mutation algebras: A partial order relation

1986
Let A be an associative algebra with 1 over a field of characteristic not 2 (multiplication denoted by juxtaposition), and let p,q be two elements in A. The mutation algebra A(p,q) is then defined as the (nonassociative) algebra over the same underlying linear space as A but with multiplication given by: \(x*y=xpy-yqx.\) The first part of this paper is
González, S., Martínez, C.
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NONCOMMUTATIVE JORDAN RIESZ ALGEBRAS

The Quarterly Journal of Mathematics, 1988
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Particle models from special Jordan backgrounds and spectral triples

Journal of Mathematical Physics, 2022
Fabien Besnard, Shane Farnsworth
exaly  

Noncommutative topology and Jordan operator algebras

Mathematische Nachrichten, 2019
David P Blecher
exaly  

Representations of simple noncommutative Jordan superalgebras I

Journal of Algebra, 2020
Yury Popov
exaly  

Introduction to M(atrix) theory and noncommutative geometry

Physics Reports, 2002
Albert Schwarz
exaly  

Ideals in nondegenerate noncommutative jordan algebras

Communications in Algebra, 1986
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