Jordan's Cours d'Analyse / C. Jordan (Review).
J. Harkness (1893/94)
Bulletin of the New York Mathematical Society
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J. Harkness (1893/94)
Bulletin of the New York Mathematical Society
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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.
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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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.
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.
Holger P. Petersson, M.L. Racine (1983)
Manuscripta mathematica
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A. Moreno Galindo, A. Rodríguez Palacios (1997)
Extracta Mathematicae
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Antonio Fernández López (1988)
Collectanea Mathematica
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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.
Li, Jian-Lin (2006)
International Journal of Mathematics and Mathematical Sciences
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Consuelo Martínez, Efim Zelmanov (2001)
RACSAM
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We construct universal associative enveloping algebras for a large class of Jordan superalgebras.
Antonio Fernández López (1998)
Manuscripta mathematica
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Oda Kühn, A. Rosendahl (1978)
Manuscripta mathematica
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Antonio Fernández López (1992)
Publicacions Matemàtiques
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In this paper we prove that a nondegenerate Jordan algebra satisfying the descending chain condition on the principal inner ideals, also satisfies the ascending chain condition on the annihilators of the principal inner ideals. We also study annihilators in Jordan algebras without nilpotent elements and in JB-algebras.
Е.И. Зельманов (1985)
Sibirskij matematiceskij zurnal
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