Results 21 to 30 of about 23,968 (185)

Unification Theories: Examples and Applications

Axioms, 2018
We consider several unification problems in mathematics. We refer to transcendental numbers. Furthermore, we present some ways to unify the main non-associative algebras (Lie algebras and Jordan algebras) and associative algebras.
Florin F. Nichita
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Jordan-Morphisms in ∗ -Algebras [PDF]

Proceedings of the American Mathematical Society, 1982
As a continuation of Størmer’s work on Jordan-morphisms in C ∗ C* -algebras we consider Jordan-morphisms φ \varphi from ∗ * -algebras A \mathfrak {A} into the ∗ * -algebra B ( H )
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Ternary Generalized Jordan Ring Homomorphisms on Ternary Non-Archimedean Banach Algebras [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we introduce the notion of the ternary generalized Jordan ring homomorphism on ternary non-Archimedean Banach algebras. Utilizing  alternative fixed point methods, we establish the generalized Hyers-Ulam stability of ternary generalized ...
Ismail Nikoufar, Hossein Rahimpoor
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Vinberg's T-algebras: From exceptional periodicity to black hole entropy

SciPost Physics Proceedings, 2023
We introduce the so-called Magic Star (MS) projection within the root lattice of finite-dimensional exceptional Lie algebras, and relate it to rank-3 simple and semi-simple Jordan algebras.
Alessio Marrani
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Jordan Triple Forms of Jordan Algebras [PDF]

Proceedings of the American Mathematical Society, 1983
We show that a central nondegenerate Jordan triple system over a field of characteristic ≠ 2 \ne 2 has a nonzero center iff it is scalar isomorphic to a Jordan algebra. As an application we classify Jordan triple forms of Jordan algebras.
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Jordan trialgebras and post-Jordan algebras

Journal of Algebra, 2017
We compute minimal sets of generators for the S_n-modules (n <= 4) of multilinear polynomial identities of arity n satisfied by the Jordan product and the Jordan diproduct (resp. pre-Jordan product) in every triassociative (resp. tridendriform) algebra.
Bagherzadeh, F., Bremner, M., Madariaga, S.   +2 more
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Scalar characterization in Banach Jordan algebras

Universal Journal of Mathematics and Applications, 2018
Using a Diagonalization Theorem obtained when the spectrum is Lipschitzian, we extend a result of G. Braatvedt on scalar characterization in Banach algebras to Banach-Jordan algebras.
Abdelaziz Maouche
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Degenerations of Jordan Algebras and “Marginal” Algebras [PDF]

Algebra Colloquium, 2021
We describe all degenerations of the variety [Formula: see text] of Jordan algebras of dimension three over [Formula: see text]. In particular, we describe all irreducible components in [Formula: see text]. For every [Formula: see text] we define an [Formula: see text]-dimensional rigid “marginal” Jordan algebra of level one.
Gorshkov, Ilya, Kaygorodov, Ivan, Popov, Yury   +2 more
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On Generalizations of Jacobi–Jordan Algebras

Axioms
In this paper, we present some generalizations of Jacobi–Jordan algebras. More concretely, we will focus on noncommutative Jacobi–Jordan algebras, Malcev–Jordan algebras, and general Jacobi–Jordan algebras.
Hani Abdelwahab, Naglaa Fathi Abdo, Elisabete Barreiro, José María Sánchez   +3 more
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Nonassociative Algebras, Rings and Modules over Them

Mathematics, 2023
The review is devoted to nonassociative algebras, rings and modules over them. The main actual and recent trends in this area are described. Works are reviewed on radicals in nonassociative rings, nonassociative algebras related with skew polynomials ...
Sergey Victor Ludkowski
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