Results 31 to 40 of about 928,268 (284)
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. +2 more
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Conditional Probability, Three-Slit Experiments, and the Jordan Algebra Structure of Quantum Mechanics [PDF]
, 2009 Most quantum logics do not allow for a reasonable calculus of conditional probability. However, those ones which do so provide a very general and rich mathematical structure, including classical probabilities, quantum mechanics, and Jordan algebras ...
G. Niestegge
semanticscholar +1 more source
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
doaj
(-1,-1)-Balanced Freudenthal Kantor triple systems and noncommutative Jordan algebras [PDF]
, 2004 A noncommutative Jordan algebra of a specific type is attached to any (-1,-1)-balanced Freudenthal Kantor triple system, in such a way that the triple product in this system is determined by the binary product in the algebra.
Elduque, Alberto +2 more
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On annihilators in Jordan algebras [PDF]
Publicacions Matemàtiques, 1992 In this paper we prove that a nondegenerate Jordan algebra satisfying the descending chain condition on the principal inner ideals, also satisfy the ascending chain condition on the annihilators of the principal inner ideals . We also study annihilators in Jordan algebras without nilpotent elements and in JB-algebras.
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Reduction of Lie--Jordan algebras: Quantum [PDF]
, 2013 In this paper we present a theory of reduction of quantum systems in the presence of symmetries and constraints. The language used is that of Lie--Jordan Banach algebras, which are discussed in some detail together with spectrum properties and the space ...
Falceto, F. +3 more
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The Jordan algebras of a Lie algebra
Journal of Algebra, 2007 AbstractWe attach a Jordan algebra Lx to any ad-nilpotent element x of index of nilpotence at most 3 in a Lie algebra L. This Jordan algebra has a behavior similar to that of the local algebra of a Jordan system at an element. Thus, Lx inherits nice properties from L and keeps relevant information about the element x.
Esther García +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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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 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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