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Malcev–Poisson–Jordan algebras
Journal of Algebra and Its Applications, 2016Malcev–Poisson–Jordan algebra (MPJ-algebra) is defined to be a vector space endowed with a Malcev bracket and a Jordan structure which are satisfying the Leibniz rule. We describe such algebras in terms of a single bilinear operation, this class strictly contains alternative algebras. For a given Malcev algebra [Formula: see text], it is interesting to
Ait Ben Haddou, Malika +2 more
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Ternary Hom-Jordan algebras induced by Hom-Jordan algebras
Linear and Multilinear Algebra, 2020The purpose of this paper is to study the relationships between a Hom-Jordan algebras and its induced ternary Hom-Jordan algebras.
Arfa, Anja +2 more
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INTEGRATION ON JORDAN ALGEBRAS
Mathematics of the USSR-Izvestiya, 1984See the review in Zbl 0516.46044.
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Siberian Advances in Mathematics, 2019
Summary: We study the variety \(\mathcal{V}_J\) of Jordan algebras defined by the identities \(x^2yx\equiv 0\) and \((x_1y_1)(x_2y_2)(x_3y_3)\equiv 0\). We suggest a method for constructing an algebra in \(\mathcal{V}_J\) from an arbitrary Lie superalgebra. For certain subvarieties, we completely describe their identities and sequences of cocharacters.
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Summary: We study the variety \(\mathcal{V}_J\) of Jordan algebras defined by the identities \(x^2yx\equiv 0\) and \((x_1y_1)(x_2y_2)(x_3y_3)\equiv 0\). We suggest a method for constructing an algebra in \(\mathcal{V}_J\) from an arbitrary Lie superalgebra. For certain subvarieties, we completely describe their identities and sequences of cocharacters.
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Acceptance and attitudes toward COVID-19 vaccines: A cross-sectional study from Jordan
PLoS ONE, 2021Tamam El-Elimat +2 more
exaly
Jordan Algebras Versus C*- Algebras
1976In the more abstract setting for quantum statistical mechanics and quantum field theory C* -algebras have become quite popular. They are useful for explaining several phenomena, and the mathematics is well developed, so the popularity is very natural. However, if one looks at them from a more axiomatic point of view their use is not so clear.
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Hermitian Jordan Banach Algebras
Journal of the London Mathematical Society, 1979openaire +2 more sources
Proceedings of the London Mathematical Society, 1980
Putter, P. S., Yood, Bertram
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Putter, P. S., Yood, Bertram
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