Results 31 to 40 of about 77,290 (197)
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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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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SURJECTIVE QUADRATIC JORDAN ALGEBRAS
Eurasian Mathematical Journal, 2020 Summary: We introduce the concepts of surjectivity and linear minimality for quadratic Jordan algebras, then we present a partial classification of such algebras of characteristic 2. As a corollary, we obtain that in substance non-trivial minimal quadratic Jordan algebras are fields.
Baissalov, Yerzhan, Aljouiee, Abdullah
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Defining quantumness via the Jordan product
, 2013 We propose alternative definitions of classical states and quantumness witnesses by focusing on the algebra of observables of the system. A central role will be assumed by the anticommutator of the observables, namely the Jordan product.
Facchi, Paolo +3 more
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The Study of Maps Completely Preserving *-Jordan Zero Products on Factor von Neumann Algebras
Journal of Harbin University of Science and Technology, 2018 In order to characterize the maps completely preserving *Jordan zeroproducts on factor von Neumann algebras, according to the definition of bilateral complete preserving *Jordan zeroproducts and bilateral 2preserving *Jordan zeroproducts, taking a ...
LIU Hong-yu, HUO Dong-hua
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Maximum Entropy and Sufficiency
, 2016 The notion of Bregman divergence and sufficiency will be defined on general convex state spaces. It is demonstrated that only spectral sets can have a Bregman divergence that satisfies a sufficiency condition.
Harremoës, Peter
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Noncommutative matrix Jordan algebras [PDF]
Transactions of the American Mathematical Society, 1992 We consider noncommutative degree two Jordan algebras J \mathcal {J} of two by two matrices whose off diagonal entries are from an anticommutative algebra S \mathcal {S} . We give generators and relations for the automorphism group of J \mathcal {J} and determine ...
Brown, Robert B., Hopkins, Nora C.
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Half-axes in power associative algebras
, 2018 Let $A$ be a commutative, non-associative algebra over a field $\mathbb{F}$ of characteristic $\ne 2$. A half-axis in $A$ is an idempotent $e\in A$ such that $e$ satisfies the Peirce multiplication rules in a Jordan algebra, and, in addition, the $1 ...
Segev, Yoav
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Journal of Child Psychology and Psychiatry, EarlyView.Background Conflict and crises have long‐lasting and dramatic consequences on the mental health of children. We aimed to investigate the effectiveness of a psychosocial intervention on child mental health in Afghanistan. Methods A two‐arm cluster‐randomized controlled trial was conducted in 83 rural primary schools within three provinces of Afghanistan.
Jean‐Francois Trani +12 more
wiley +1 more source