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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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Jordan manifolds and dispersionless KdV equations [PDF]
, 2000 Multicomponent KdV-systems are defined in terms of a set of structure constants and, as shown by Svinolupov, if these define a Jordan algebra the corresponding equations may be said to be integrable, at least in the sense of having higher-order ...
Strachan, I.A.B.
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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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Exceptional quantum geometry and particle physics
Nuclear Physics B, 2016 Based on an interpretation of the quark–lepton symmetry in terms of the unimodularity of the color group SU(3) and on the existence of 3 generations, we develop an argumentation suggesting that the “finite quantum space” corresponding to the exceptional ...
Michel Dubois-Violette
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Commuting involutions of Lie algebras, commuting varieties, and simple Jordan algebras [PDF]
, 2012 We study certain "\sigma-commuting varieties" associated with a pair of commuting involutions of a semisimple Lie algebra $\g$. The usual commuting variety of $\g$ and commuting varieties related to one involution are particular cases of our construction.
Panyushev, Dmitri I.
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Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra
International Journal of Mathematics and Mathematical Sciences, 2005 We investigate Jordan automorphisms and Jordan derivations of a class of algebras called generalized triangular matrix algebras. We prove that any Jordan automorphism on such an algebra is either an automorphism or an antiautomorphism and any Jordan ...
Aiat Hadj Ahmed Driss +1 more
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Is there a Jordan geometry underlying quantum physics? [PDF]
, 2008 There have been several propositions for a geometric and essentially non-linear formulation of quantum mechanics. From a purely mathematical point of view, the point of view of Jordan algebra theory might give new strength to such approaches: there is a `
A. Ashtekar +36 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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Jordan matrix algebras defined by generators and relations
AIMS Mathematics, 2022 In the present paper we describe Jordan matrix algebras over a field by generators and relations. We prove that the minimun number of generators of some special Jordan matrix algebras over a field is 2.
Yingyu Luo +3 more
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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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