Results 21 to 30 of about 471,891 (193)
THE RADICAL OF A JORDAN ALGEBRA [PDF]
Proceedings of the National Academy of Sciences, 1969 In this paper we define a Jacobson radical for Jordan algebras analogous to that for associative algebras and show that it enjoys many of the properties of the associative radical. We then relate the corresponding notion of “semisimplicity” to the previously defined notion of “nondegeneracy” (Jacobson, N., these
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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 ∗
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Inductive constructions for Lie bialgebras and Hopf algebras [PDF]
, 2006 PhDIn recent years, two generalisations of the theory of Lie algebras have become prominent, namely the "semi-classical" theory of Lie bialgebras and the "quantum" theory of Bopf algebras, including the quantized enveloping algebras.
Grabowski, Jan E.
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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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Jordan-Lie inner ideals of finite dimensional associative algebras
, 2019 We study Jordan-Lie inner ideals of finite dimensional associative algebras and the corresponding Lie algebras and show that they admit Levi decompositions.
Alexander Baranov (7133645) +1 more
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A CHARACTERIZATION OF DERIVATIONS AND AUTOMORPHISMS ON SOME SIMPLE ALGEBRAS
Ural Mathematical Journal, 2022 In the present paper, we study simple algebras, which do not belong to the well-known classes of algebras (associative algebras, alternative algebras, Lie algebras, Jordan algebras, etc.).
Farhodjon Arzikulov +2 more
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Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in C*-algebras [PDF]
, 2014 We show that the existence of a surjective isometry (which is merely a distance preserving map) between the unitary groups of unital C*-algebras implies the existence of a Jordan *-isomorphism between the algebras.
Hatori, Osamu, Molnár, Lajos
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Journal of Algebra, 1994 The authors have classified the primitive Jordan algebras over a field of characteristic \(\neq 2\). This classification is based on that of \textit{E. Zelmanov} [Sib. Math. J. 24, 73-85 (1983); translation from Sib. Mat. Zh. 24, No. 1(137), 89-104 (1983; Zbl 0534.17009)] concerning prime nondegenerate Jordan algebras, and on the following theorems ...
Anquela, José Angel +2 more
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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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