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A Generalization of Degree Two Simple Finite-Dimensional Noncommutative Jordan Algebras
Canadian Journal of Mathematics, 1980Let 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, 1992See the review in Zbl 0753.17003.
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Noncommutative Jordan mutation algebras: A partial order relation
1986Let 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, 1988openaire +1 more source
Multiplicative bi-skew Jordan triple derivations on prime ∗-algebra
Georgian Mathematical Journal, 2023exaly
Non-linear *-Jordan derivations on von Neumann algebras
Linear and Multilinear Algebra, 2016Ali Taghavi, Vahid Darvish
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Specht property for the 2-graded identities of the Jordan algebra of a bilinear form
Communications in Algebra, 2017Manuela Da Silva Souza
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Octonions, Exceptional Jordan Algebra and The Role of The Group $$F_4$$ F 4 in Particle Physics
Advances in Applied Clifford Algebras, 2018Ivan Todorov
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Ideals in nondegenerate noncommutative jordan algebras
Communications in Algebra, 1986openaire +1 more source