Results 51 to 60 of about 1,540,375 (236)
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
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Zero Triple Product Determined Matrix Algebras
Journal of Applied Mathematics, 2012 Let A be an algebra over a commutative unital ring C. We say that A is zero triple product determined if for every C-module X and every trilinear map {⋅,⋅,⋅}, the following holds: if {x,y,z}=0 whenever xyz=0, then there exists a C-linear operator T:A3⟶X ...
Hongmei Yao, Baodong Zheng
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State Spaces of Jordan Algebras [PDF]
Acta Mathematica, 1978 In this chapter we will discuss properties of the normal state space of JBW-algebras. Since every JB-algebra state space is also the normal state space of a JBW-algebra (Corollary 2.61), these properties also apply to JB-algebra state spaces.
Alfsen, Erik M., Shultz, Frederic W.
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Isotopisms of Jordan Algebras [PDF]
Proceedings of the American Mathematical Society, 1969 R. H. Oehmke and R. Sandler have shown in [4] that the middle nucleus of a finite-dimensional semisimple Jordan algebra coincides with its center providing the base field has a characteristic different from 2. By the middle nucleus of a commutative algebra A we mean the set of those elements x in A, for which the associator (y, x, z) = (yx)z-y(xz ...
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SMARANDACHE NON-ASSOCIATIVE RINGS [PDF]
, 2002 An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic ...
Vasantha, Kandasamy
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K-Bessel functions associated to a 3-rank Jordan algebra
International Journal of Mathematics and Mathematical Sciences, 2005 Using the Bessel-Muirhead system, we can express the K-Bessel function defined on a Jordan algebra as a linear combination of the J-solutions. We determine explicitly the coefficients when the rank of this Jordan algebra is three after a reduction to the
Hacen Dib
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σ-derivations on generalized matrix algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 Let be a commutative ring with unity, 𝒜, be -algebras, be (𝒜, )-bimodule and 𝒩 be (, 𝒜)-bimodule. The -algebra 𝒢 = 𝒢(𝒜, , 𝒩, ) is a generalized matrix algebra defined by the Morita context (𝒜, , , 𝒩, ξ𝒩, Ω𝒩).
Jabeen Aisha +2 more
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Maximal modular inner ideals and the Jacobson radical of a Jordan algebra
, 1981 The Jacobson radical of an associative algebra coincides with the intersection of all maximal modular one-sided ideals. In this note we show that the Jacobson radical of a unital Jordan algebra is the intersection of all maximal inner ideals, settling an
L. Hogben, K. Mccrimmon
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Transactions of the American Mathematical Society, 1975 A local Jordan algebra J \mathfrak {J} is a unital quadratic Jordan
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Jordan-Lie Inner Ideals of Finite Dimensional Associative Algebras
, 2018 A subspace B of a Lie algebra L is said to be an inner ideal if [B, [B,L]] ⊆ B. Suppose that L is a Lie subalgebra of an associative algebra A. Then an inner ideal B of L is said to be Jordan-Lie if B2 = 0.
Hasan Mohammed Ali Saeed Shlaka (7809311)
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