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.
Copyright Owner
Royal Society of Canada
Copyright Date
1989
Language
en
File Format
application/pdf
Recommended Citation
Hentzel, Irvin Roy and Jacobs, David P., "Jordan and right alternative counterexamples" (1989). Mathematics Publications. 240.
https://lib.dr.iastate.edu/math_pubs/240
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.