Results 141 to 150 of about 23,968 (185)
A THEOREM ON THE STRUCTURE OF JORDAN ALGEBRAS. [PDF]
Jacobson N.
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A new model for solving stochastic second-order cone complementarity problem and its convergence analysis. [PDF]
Luo M, Zhang C.
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On a class of noncommutative Jordan algebras. [PDF]
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PROOF OF AN IDENTITY ON JORDAN ALGEBRAS. [PDF]
Harper LR.
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A PROPERTY OF SPECIAL JORDAN ALGEBRAS. [PDF]
Albert AA.
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Nonlinear Topological Photonics: Capturing Nonlinear Dynamics and Optical Thermodynamics. [PDF]
Wong S +5 more
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1994
Abstract In this chapter we introduce Jordan algebras and prove their most fundamental properties. Further developments of an algebraic nature will be presented in later chapters, as needed. We restrict ourselves to finite dimensional algebras over the real or complex field and, except in Section 1, assume the existence of an identity ...
Jacques Faraut, Adam Korányi
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Abstract In this chapter we introduce Jordan algebras and prove their most fundamental properties. Further developments of an algebraic nature will be presented in later chapters, as needed. We restrict ourselves to finite dimensional algebras over the real or complex field and, except in Section 1, assume the existence of an identity ...
Jacques Faraut, Adam Korányi
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Algebra and Logic, 1988
This work is based on the results and methods of the author's earlier study of Jordan \(A\)-algebras [Algebra Logika 26, No. 6, 731--755 (1987; Zbl 0648.17008)]. The term algebra is used when working over a commutative associative ring with \(1/2\), while the term ring is used when working over the integers.
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This work is based on the results and methods of the author's earlier study of Jordan \(A\)-algebras [Algebra Logika 26, No. 6, 731--755 (1987; Zbl 0648.17008)]. The term algebra is used when working over a commutative associative ring with \(1/2\), while the term ring is used when working over the integers.
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Canadian Journal of Mathematics, 1981
In the theory of Jordan algebras one encounters several definitions of the trace, and it is sometimes unclear whether the different notions are equivalent or not. If we restrict attention to the so–called JB–algebras studied in [2] and their weakly closed analogues JBW–algebras [8], we shall in the present note show that the different concepts are all ...
Pedersen, Gert Kjaergard +1 more
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In the theory of Jordan algebras one encounters several definitions of the trace, and it is sometimes unclear whether the different notions are equivalent or not. If we restrict attention to the so–called JB–algebras studied in [2] and their weakly closed analogues JBW–algebras [8], we shall in the present note show that the different concepts are all ...
Pedersen, Gert Kjaergard +1 more
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Jacobi–Jordan-admissible algebras and pre-Jacobi–Jordan algebras
Journal of Algebra and Its ApplicationsThe main purpose of this paper is to study Jacobi–Jordan-admissible algebras and some particular classes like pre-Jacobi–Jordan algebras. First, we provide characterizations of Jacobi–Jordan algebras by means of oxidation process. Then, we discuss Jacobi–Jordan-admissible algebras for which we obtain a surprising characterization as 3-power anti ...
Amir Baklouti +3 more
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