On a Class of Jordan Groups.
William M. Kantor (1970)
Mathematische Zeitschrift
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William M. Kantor (1970)
Mathematische Zeitschrift
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Eberhard Neher (1979)
Mathematische Zeitschrift
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Günther Horn (1987)
Mathematische Zeitschrift
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Ottmar Loos (1991)
Mathematische Zeitschrift
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Holger P. Petersson (1981)
Mathematische Zeitschrift
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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.
L.R. Sons (1975)
Mathematische Zeitschrift
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Oda Kühn, A. Rosendahl (1978)
Manuscripta mathematica
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J. Harkness (1893/94)
Bulletin of the New York Mathematical Society
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Gerhard Janssen, Klaus Alvermann (1984)
Mathematische Zeitschrift
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James Wiegold (1961)
Mathematische Zeitschrift
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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.
Luis Ribes (1971)
Mathematische Zeitschrift
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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].
Gerald Hessenberger (1996)
Mathematische Zeitschrift
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Lotfi Riahi (2004)
Colloquium Mathematicae
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We prove a new 3G-Theorem for the Laplace Green function G on an arbitrary Jordan domain D in ℝ². This theorem extends the recent one proved on a Dini-smooth Jordan domain.