Results 241 to 250 of about 854,583 (273)
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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 ...
Erling Størmer, Gert K. Pedersen
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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 ...
Erling Størmer, Gert K. Pedersen
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Lie (Jordan) centralizers on generalized matrix algebras
, 2020Let be a commutative ring with unit element, be -algebras, be an -bimodule, and be a -bimodule. The -algebra is a generalized matrix algebra defined by the Morita context In this article, we study Lie (Jordan) centralizer on generalized matrix algebras ...
A. Jabeen
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INTEGRATION ON JORDAN ALGEBRAS
Mathematics of the USSR-Izvestiya, 1984See the review in Zbl 0516.46044.
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, 2015
Fields and Matrix Algebra The Field Z3 The Field Axioms Field Examples Matrix Algebra over Different Fields Exercises Vector Spaces Definition of a Vector Space Vector Spaces of Functions Subspaces and More Examples of Vector Spaces Linear Independence ...
Hugo J. Woerdeman
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Fields and Matrix Algebra The Field Z3 The Field Axioms Field Examples Matrix Algebra over Different Fields Exercises Vector Spaces Definition of a Vector Space Vector Spaces of Functions Subspaces and More Examples of Vector Spaces Linear Independence ...
Hugo J. Woerdeman
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Siberian Mathematical Journal, 1988
Let \(J\) be a Jordan \(\Phi\)-algebra, where \(\Phi\) is a commutative associative ring with \(1/2\); and let \(R(J)\) denote the multiplicative enveloping algebra of \(J\). The author first proves: (1) For \(Z\) an ideal of \(\Phi\), let \({\mathcal L}_Z(J)\) and \(\mathcal L_Z(R(J))\) be the locally finite over \(Z\) radicals of \(J\) and \(R(J ...
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Let \(J\) be a Jordan \(\Phi\)-algebra, where \(\Phi\) is a commutative associative ring with \(1/2\); and let \(R(J)\) denote the multiplicative enveloping algebra of \(J\). The author first proves: (1) For \(Z\) an ideal of \(\Phi\), let \({\mathcal L}_Z(J)\) and \(\mathcal L_Z(R(J))\) be the locally finite over \(Z\) radicals of \(J\) and \(R(J ...
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Algebra and Logic, 1992
The study of primitive Jordan algebras was initiated by \textit{E. I. Zel'manov} [Algebra Logic 18, 103--111 (1979); translation from Algebra Logika 18, 162--175 (1979; Zbl 0433.17009)], and continued by \textit{L. Hogben} and \textit{K. McCrimmon} [J. Algebra 68, 155--169 (1981; Zbl 0449.17011)].
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The study of primitive Jordan algebras was initiated by \textit{E. I. Zel'manov} [Algebra Logic 18, 103--111 (1979); translation from Algebra Logika 18, 162--175 (1979; Zbl 0433.17009)], and continued by \textit{L. Hogben} and \textit{K. McCrimmon} [J. Algebra 68, 155--169 (1981; Zbl 0449.17011)].
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Journal of Soviet Mathematics, 1987
The paper gives a survey of some recent results in the theory of Jordan algebras of self-adjoint operators on a Hilbert space (JW-algebras) and their abstract generalizations - Jordan Banach algebras. Contents: Introduction. {\S} 1 Jordan algebras of self-adjoint operators and Jordan Banach algebras. {\S} 2 JW-algebras and enveloping \(W^*\)- algebras.
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The paper gives a survey of some recent results in the theory of Jordan algebras of self-adjoint operators on a Hilbert space (JW-algebras) and their abstract generalizations - Jordan Banach algebras. Contents: Introduction. {\S} 1 Jordan algebras of self-adjoint operators and Jordan Banach algebras. {\S} 2 JW-algebras and enveloping \(W^*\)- algebras.
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On a VOA Associated with the Simple Jordan Algebra of Type D
, 2011Takahiro Ashihara
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A Kronecker Factorization Theorem for Cayley Algebras and the Exceptional Simple Jordan Algebra
, 1954N. Jacobson
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