Homotopes of Noncommutative Jordan Algebras.
K. McCRIMMON (1971)
Mathematische Annalen
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K. McCRIMMON (1971)
Mathematische Annalen
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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.
B.N. Allison (1978)
Mathematische Annalen
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Yaakov Friedamnn, Bernhard Russo (1987)
Mathematische Zeitschrift
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Gerhard Janssen, Klaus Alvermann (1984)
Mathematische Zeitschrift
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Holger P. Petersson, M.L. Racine (1983)
Manuscripta mathematica
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Eberhard Neher (1979)
Mathematische Zeitschrift
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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.
Holger P. Petersson (1981)
Mathematische Zeitschrift
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C.M. Edwards (1980)
Mathematische Annalen
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E. Störmer (1980)
Mathematische Annalen
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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].