Results 11 to 20 of about 24,051 (192)
Pseudo-Euclidean Jordan Algebras [PDF]
Communications in Algebra, 2015 39 ...
Benayadi, Saïd, Baklouti, Amir
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Quasi-Jordan Banach Algebras [PDF]
Abstract and Applied Analysis, 2014 We initiate a study of quasi-Jordan normed algebras. It is demonstrated that any quasi-Jordan Banach algebra with a norm 1 unit can be given an equivalent norm making the algebra isometrically isomorphic to a closed right ideal of a unital split quasi ...
Reem K. Alhefthi +2 more
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Linear Algebra and its Applications, 2014 We study finite-dimensional commutative algebras, which satisfy the Jacobi identity. Such algebras are Jordan algebras. We describe some of their properties and give a classification in dimensions $n<7$ over algebraically closed fields of characteristic not $2$ or $3$.
Burde, Dietrich, Fialowski, Alice
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Transactions of the American Mathematical Society, 1975 A local Jordan algebra J \mathfrak {J} is a unital quadratic Jordan algebra in which Rad J \operatorname {Rad} \mathfrak {J} is a maximal ideal, J / Rad J \mathfrak {
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Construction of Hom-pre-Jordan algebras and Hom-J-dendriform algebras
Extracta Mathematicae, 2022 The aim of this work is to introduce and study the notions of Hom-pre-Jordan algebra and Hom-J-dendriform algebra which generalize Hom-Jordan algebras.
T. Chtioui, S. Mabrouk, A. Makhlouf
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Jordan Algebras Over Algebraic Varieties [PDF]
Communications in Algebra, 2010 We construct Jordan algebras over a locally ringed space using generalizations of the Tits process and the first Tits construction by Achhammer. Some general results on the structure of these algebras are obtained. Examples of Albert algebras over a Brauer-Severi variety with associated central simple algebra of degree 3 are given.
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Jordan algebras of capacity two. [PDF]
Proc Natl Acad Sci U S A, 1967 Osborn JM.
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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 centralizer maps on trivial extension algebras
Demonstratio Mathematica, 2020 The structure of Jordan centralizer maps is investigated on trivial extension algebras. One may obtain some conditions under which a Jordan centralizer map on a trivial extension algebra is a centralizer map. As an application, we characterize the Jordan
Bahmani Mohammad Ali +2 more
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A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations [PDF]
, 2016 Moens proved that a finite-dimensional Lie algebra over field of characteristic zero is nilpotent if and only if it has an invertible Leibniz-derivation.
Kaygorodov, Ivan, Popov, Yury
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