Campus Units
Mathematics
Document Type
Article
Publication Version
Published Version
Publication Date
2004
Journal or Book Title
East-West Journal of Mathematics
Volume
6
Issue
1
First Page
67
Last Page
84
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.
Copyright Owner
East-West Journal of Mathematics
Copyright Date
2004
Language
en
File Format
application/pdf
Recommended Citation
Hentzel, Irvin R. and Peresi, Luiz Antonio, "A variety containing Jordan and pseudo-composition algebras" (2004). Mathematics Publications. 134.
https://lib.dr.iastate.edu/math_pubs/134
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.