Journal or Book Title
International Journal of Computer Mathematics
Albert is an interactive computer system for building nonassociative algebras . 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 .
Taylor & Francis
Hentzel, Irvin R.; Jacobs, D. P.; and Kleinfeld, Erwin, "Rings with (a, b, c) = (a, c, b) and (a, [b, c]d) = 0: A Case Study Using Albert" (1993). Mathematics Publications. 137.