Noncommutative Jordan C*-Algebras.
R. Payá, J. Pérez, A. Rodriguez (1982)
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R. Payá, J. Pérez, A. Rodriguez (1982)
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Gerhard Janssen, Klaus Alvermann (1984)
Mathematische Zeitschrift
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Genkai Zhang (1995)
Mathematische Annalen
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Holger P. Petersson, M.L. Racine (1983)
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Angel Rodriguez Palacios (1988)
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A. Fernandez López, Rodriguez P. A. (1986)
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Clerc, Jean-Louis (2002)
Journal of Lie Theory
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Holger P. Petersson (1981)
Mathematische Zeitschrift
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Antonio Fernández López (1998)
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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.
J.A. Loustau (1978)
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Yaakov Friedamnn, Bernhard Russo (1987)
Mathematische Zeitschrift
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Harald Upmeier (1980)
Mathematica Scandinavica
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Eberhard Neher (1980)
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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.