Campus Units

Mathematics

Document Type

Article

Publication Version

Published Version

Publication Date

6-1989

Journal or Book Title

Comptes Rendus Mathématique

Volume

11

Issue

3

First Page

77

Last Page

82

Abstract

In the free communtative power associative algebras, we show that the Jordan associator (aa, b, a) does not square to zero and is not in the left, right, or middle nucleus. We show the same properties for (aa, a, b). These and some other questions were answered by constructing a counterexample. We contrast this approach with the characteristic function type proof that was used to show that in a right alternative algebra, the cube of the alternator need not be zero.

Comments

This article is published as Hentzel, Irvin Roy and David Pokrass Jacobs. "Jordan and right alternative counterexamples." 11, no. 3 Comptes Rendus Mathématique (1989): 77-82. Posted with permission.

Copyright Owner

Royal Society of Canada

Language

en

File Format

application/pdf

Included in

Algebra Commons

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