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Péter Battyányi (1996)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we examine some questions concerned with certain ``skew'' properties of the range of a Jordan *-derivation. In the first part we deal with the question, for example, when the range of a Jordan *-derivation is a complex subspace. The second part of this note treats a problem in relation to the range of a generalized Jordan *-derivation.
M. Benslimane, H. Marhnine, C. Zarhouti (2001)
Extracta Mathematicae
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Giancarlo Travaglini (1991)
Colloquium Mathematicae
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This paper is concerned with the action of a special formally real Jordan algebra U on an Euclidean space E, with the decomposition of E under this action and with an application of this decomposition to the study of Bessel functions on the self-adjoint homogeneous cone associated to U.
Siddiqui, Akhlaq A. (2011)
The New York Journal of Mathematics [electronic only]
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Kolesnikov, Pavel (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Karakhanyan, David, Kirschner, Roland (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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He Yuan, Liangyun Chen (2016)
Colloquium Mathematicae
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We study Jordan (θ,θ)-superderivations and Jordan triple (θ,θ)-superderivations of superalgebras, using the theory of functional identities in superalgebras. As a consequence, we prove that if A = A₀ ⊕ A₁ is a prime superalgebra with deg(A₁) ≥ 9, then Jordan superderivations and Jordan triple superderivations of A are superderivations of A, and generalized Jordan superderivations and generalized Jordan triple superderivations of A are generalized superderivations of A.
Abdelaziz Maouche (2004)
Extracta Mathematicae
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