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.

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

Included in

Algebra Commons

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