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On a Class of Commutative Power-Associative Nilalgebras

✍ Scribed by Ivan Correa; Avelino Suazo

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 64 KB
Volume: 215
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7699

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✦ Synopsis

We prove that commutative power associative nilalgebras of nilindex n and dimension n are nilpotent of index n. We find a necessary and sufficient condition for such an algebra to be a Jordan algebra and give all corresponding isomorphism classes.

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