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Generalized Jordan algebras

โœ Scribed by Irvin Roy Hentzel; Alicia Labra


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
103 KB
Volume
422
Category
Article
ISSN
0024-3795

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Additivity of Jordan maps on Jordan alge
โœ Peisheng Ji ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 158 KB

Let A and B be two Jordan algebras. In this paper, we investigate the additivity of maps ฯ† from A onto B that are bijective and satisfy for all a, b โˆˆ A. If A contains an idempotent which satisfies some conditions, then ฯ† is additive. This result generalizes all results about additivity of Jordan m