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Additivity of Jordan maps on Jordan algebras

✍ Scribed by Peisheng Ji


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
158 KB
Volume
431
Category
Article
ISSN
0024-3795

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✦ Synopsis


Let A and B be two Jordan algebras. In this paper, we investigate the additivity of maps Ο† from A onto B that are bijective and satisfy

for all a, b ∈ A. If A contains an idempotent which satisfies some conditions, then Ο† is additive. This result generalizes all results about additivity of Jordan maps in [


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