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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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Homotopes of Quasi-Jordan Algebras
Axioms, 2023 The notion of quasi-Jordan algebras was originally proposed by R. Velasquez and R. Fellipe. Later, M. R. Bremner provided a modification called K-B quasi-Jordan algebras; these include all Jordan algebras and all dialgebras, and hence all associative ...
Reem K. Alhefthi +2 more
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Composites and Categories of Euclidean Jordan Algebras [PDF]
Quantum, 2020 We consider possible non-signaling composites of probabilistic models based on euclidean Jordan algebras (EJAs), satisfying some reasonable additional constraints motivated by the desire to construct dagger-compact categories of such models. We show that
Howard Barnum +2 more
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Solutions of Yang–Baxter Equation of Mock-Lie Algebras and Related Rota Baxter Algebras
Computer Sciences & Mathematics Forum, 2023 This paper discusses the relationship between Mock-Lie algebras, Lie algebras, and Jordan algebras. It highlights the importance of the Yang–Baxter equation and symplectic forms in the study of integrable systems, quantum groups, and topological quantum ...
Amir Baklouti
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Generalized Jordan N-Derivations of Unital Algebras with Idempotents
Journal of Mathematics, 2021 Let A be a unital algebra with idempotent e over a 2-torsionfree unital commutative ring ℛ and S:A⟶A be an arbitrary generalized Jordan n-derivation associated with a Jordan n-derivation J.
Xinfeng Liang
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JORDAN ALGEBRAS OF CAPACITY TWO [PDF]
Proceedings of the National Academy of Sciences, 1967 Osborn JM.
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Orthogonally C∗-Ternary Jordan Homomorphisms and Jordan Derivations: Solution and Stability
Journal of Mathematics, 2022 In this work, by using some orthogonally fixed point theorem, we prove the stability and hyperstability of orthogonally C∗-ternary Jordan homomorphisms between C∗-ternary Banach algebras and orthogonally C∗-ternary Jordan derivations of some functional ...
Vahid Keshavarz, Sedigheh Jahedi
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Pseudo-Euclidean Jordan Algebras [PDF]
Communications in Algebra, 2015 39 ...
Benayadi, Saïd, Baklouti, Amir
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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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Hyers-Ulam-Rassias stability of (m, n)-Jordan derivations
Open Mathematics, 2020 In this paper, we study the Hyers-Ulam-Rassias stability of (m,n)(m,n)-Jordan derivations. As applications, we characterize (m,n)(m,n)-Jordan derivations on C⁎{C}^{\ast }-algebras and some non-self-adjoint operator algebras.
An Guangyu, Yao Ying
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