A Jordan Surface Theorem for Three-Dimensional Digital Spaces.
R. Kopperman, P.R. Meyer, R.G. Wilson (1991)
Discrete & computational geometry
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R. Kopperman, P.R. Meyer, R.G. Wilson (1991)
Discrete & computational geometry
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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.
K. Kedem, Ron Livne, János Pach, Micha Sharir (1986)
Discrete & computational geometry
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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].
Eberhard Neher (1979)
Mathematische Zeitschrift
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J. Harkness (1893/94)
Bulletin of the New York Mathematical Society
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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.
Holger P. Petersson, M.L. Racine (1983)
Manuscripta mathematica
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Dilian Yang (2005)
Colloquium Mathematicae
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Motivated by Problem 2 in [2], Jordan *-derivation pairs and n-Jordan *-mappings are studied. From the results on these mappings, an affirmative answer to Problem 2 in [2] is given when E = F in (1) or when 𝓐 is unital. For the general case, we prove that every Jordan *-derivation pair is automatically real-linear. Furthermore, a characterization of a non-normal prime *-ring under some mild assumptions and a representation theorem for quasi-quadratic functionals are provided. ...
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.
Antonio Fernández López (1998)
Manuscripta mathematica
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A. Moreno Galindo, A. Rodríguez Palacios (1997)
Extracta Mathematicae
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M. Cabrera Garcia, A. Moreno Galindo, A. Rodríguez Palacios, E. Zel'manov (1996)
Studia Mathematica
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We prove that there exists a real or complex central simple associative algebra M with minimal one-sided ideals such that, for every non-Jordan associative polynomial p, a Jordan-algebra norm can be given on M in such a way that the action of p on M becomes discontinuous.
A. Moreno Galindo (1999)
Studia Mathematica
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We prove that, if A is an associative algebra with two commuting involutions τ and π, if A is a τ-π-tight envelope of the Jordan Triple System T:=H(A,τ) ∩ S(A,π), and if T is nondegenerate, then every complete norm on T making the triple product continuous is equivalent to the restriction to T of an algebra norm on A.