On a class of commutative power-associative nilalgebras

Authors
Correa, I Suazo, A
Citation
I. Correa et A. Suazo, On a class of commutative power-associative nilalgebras, J ALGEBRA, 215(2), 1999, pp. 412-417
Citations number
4
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
215
Issue
2
Year of publication
1999
Pages
412 - 417
Database
ISI
SICI code
0021-8693(19990515)215:2<412:OACOCP>2.0.ZU;2-5
Abstract
We prove that commutative power associative nilalgebras of nilindex n and d imension n are nilpotent of index n. We find a necessary and sufficient con dition for such an algebra to be a Jordan algebra and give all correspondin g isomorphism classes. (C) 1999 Academic Press.