Some groups of type D4 defined by Jordan algebras.
D. Soda (1966)
Journal für die reine und angewandte Mathematik
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D. Soda (1966)
Journal für die reine und angewandte Mathematik
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Holger P. Petersson (1975)
Journal für die reine und angewandte Mathematik
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Siddhartha Sahi (1995)
Journal für die reine und angewandte Mathematik
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Erhard Neher (1981)
Journal für die reine und angewandte Mathematik
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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.
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.
N. Jacobson (1959)
Journal für die reine und angewandte Mathematik
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Harald Upmeier (1980)
Mathematica Scandinavica
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Yaakov Friedamnn, Bernhard Russo (1987)
Mathematische Zeitschrift
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Bertram Kostant, Siddhartha Sahi (1993)
Inventiones mathematicae
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Holger P. Petersson, M.L. Racine (1983)
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A. Moreno Galindo, A. Rodríguez Palacios (1997)
Extracta Mathematicae
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Miguel Cabrera Garcia, Antonio Moreno Galindo, Angel Rodríguez Palacios (1995)
Studia Mathematica
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We prove that for a suitable associative (real or complex) algebra which has many nice algebraic properties, such as being simple and having minimal idempotents, a norm can be given such that the mapping (a,b) ↦ ab + ba is jointly continuous while (a,b) ↦ ab is only separately continuous. We also prove that such a pathology cannot arise for associative simple algebras with a unit. Similar results are obtained for the so-called "norm extension problem", and the relationship between these...