On the structure of Jordan *-derivations
Matej Brešar, Borut Zalar (1992)
Colloquium Mathematicae
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Matej Brešar, Borut Zalar (1992)
Colloquium Mathematicae
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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.
Sara Shafiq, Muhammad Aslam (2017)
Open Mathematics
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In this paper, the notions of Jordan homomorphism and Jordan derivation of inverse semirings are introduced. A few results of Herstein and Brešar on Jordan homomorphisms and Jordan derivations of rings are generalized in the setting of inverse semirings.
Abbas Najati (2010)
Czechoslovak Mathematical Journal
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Under some conditions we prove that every generalized Jordan triple derivation on a Lie triple system is a generalized derivation. Specially, we conclude that every Jordan triple -derivation on a Lie triple system is a -derivation.
Fangyan Lu (2009)
Studia Mathematica
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We show that every Jordan isomorphism between CSL algebras is the sum of an isomorphism and an anti-isomorphism. Also we show that each Jordan derivation of a CSL algebra is a derivation.
A. Moreno Galindo (1997)
Studia Mathematica
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For = ℝ or ℂ we exhibit a Jordan-algebra norm ⎮·⎮ on the simple associative algebra with the property that Jordan polynomials over are precisely those associative polynomials over which act ⎮·⎮-continuously on . This analytic determination of Jordan polynomials improves the one recently obtained in [5].
J. Harkness (1893/94)
Bulletin of the New York Mathematical Society
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Antonio Fernández López (1988)
Collectanea Mathematica
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Е.И. Зельманов (1979)
Algebra i Logika
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Santos González Jiménez, Consuelo Martínez López (1987)
Extracta Mathematicae
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Peter Šemrl (1990)
Colloquium Mathematicae
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Eberhard Neher (1979)
Mathematische Zeitschrift
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Fošner, Maja (2004)
International Journal of Mathematics and Mathematical Sciences
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