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Article
A variety containing Jordan and pseudo-composition algebras
East-West Journal of Mathematics
  • Irvin R. Hentzel, Iowa State University
  • Luiz Antonio Peresi, Universidade de Sao Paulo
Document Type
Article
Disciplines
Publication Version
Published Version
Publication Date
1-1-2004
Abstract
We consider 3-Jordan algebras, i.e., the nonassociative commutative algebras satisfying (x^3 y)x=x^3(yx). The variety of 3-Jordan algebras contains all Jordan algebras and all pseudo-composition algebras. We prove that a simple 3-Jordan algebra with idempotent is either a Jordan algebra or a pseudo-composition algebra.
Comments

This article is published as Hentzel, Irvin Roy, and Luiz Antonio Peresi. "A variety containing Jordan and pseudo-composition algebras." East-West Journal of Mathematics 6, no. 1 (2004). Posted with permission.

Copyright Owner
East-West Journal of Mathematics
Language
en
File Format
application/pdf
Citation Information
Irvin R. Hentzel and Luiz Antonio Peresi. "A variety containing Jordan and pseudo-composition algebras" East-West Journal of Mathematics Vol. 6 Iss. 1 (2004) p. 67 - 84
Available at: http://works.bepress.com/irvin-hentzel/7/