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Article
Rings with (a, b, c) = (a, c, b) and (a, [b, c]d) = 0: A Case Study Using Albert
International Journal of Computer Mathematics
  • Irvin R. Hentzel, Iowa State University
  • D. P. Jacobs, Clemson University
  • Erwin Kleinfeld, University of Iowa
Document Type
Article
Disciplines
Publication Version
Accepted Manuscript
Publication Date
1-1-1993
DOI
10.1080/00207169308804211
Abstract
Albert is an interactive computer system for building nonassociative algebras [2]. In this paper, we suggest certain techniques for using Albert that allow one to posit and test hypotheses effectively. This process provides a fast way to achieve new results, and interacts nicely with traditional methods. We demonstrate the methodology by proving that any semiprime ring, having characteristic ≠ 2, 3, and satisfying the identities (a, b, c) - (a, c, b) = (a, [b, c], d) = 0, is associative. This generalizes a recent result by Y. Paul [7].
Comments

This is an Accepted Manuscript of an article published by Taylor & Francis as Hentzel, Irvin Roy, D. P. Jacobs, and Erwin Kleinfeld. "Rings with (a, b, c)=(a, c, b) and (a,[b, c] d)= 0: a case study using albert." International journal of computer mathematics 49, no. 1-2 (1993): 19-27. doi: 10.1080/00207169308804211. Posted with permission.

Copyright Owner
Taylor & Francis
Language
en
File Format
application/pdf
Citation Information
Irvin R. Hentzel, D. P. Jacobs and Erwin Kleinfeld. "Rings with (a, b, c) = (a, c, b) and (a, [b, c]d) = 0: A Case Study Using Albert" International Journal of Computer Mathematics Vol. 49 Iss. 1-2 (1993) p. 19 - 27
Available at: http://works.bepress.com/irvin-hentzel/10/