Campus Units

Mathematics

Document Type

Article

Publication Version

Accepted Manuscript

Publication Date

9-1993

Journal or Book Title

Journal of Symbolic Computation

Volume

16

Issue

3

First Page

289

Last Page

293

DOI

10.1006/jsco.1993.1047

Abstract

An experiment with the nonassociative algebra program Albert led to the discovery of the following surprising theorem. Let G be a groupoid satisfying the identity (xy)z = y(zx). Then for products in G involving at least five elements, all factors commute and associate. A corollary is that any semiprime ring satisfying this identity must be commutative and associative, generalizing a known result of Chen.

Comments

This article is published as Hentzel, Irvin Roy, David P. Jacobs, and Sekhar V. Muddana. "Experimenting with the identity (xy) z= y (zx)." Journal of symbolic computation 16, no. 3 (1993): 289-293. 10.1006/jsco.1993.1047. Posted with permission.

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Copyright Owner

Academic Press

Language

en

File Format

application/pdf

Published Version

Included in

Algebra Commons

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