Rings with (a, b, c) = (a, c, b) and (a, [b, c]d) = 0: a case study using albert

Autor:	Erwin Kleinfeld, Irvin Roy Hentzel, David P. Jacobs
Rok vydání:	1993
Předmět:	Discrete mathematics Identity (mathematics) Computational Theory and Mathematics Applied Mathematics Semiprime ring Algebra over a field Symbolic computation Computer Science Applications Mathematics
Zdroj:	International Journal of Computer Mathematics. 49:19-27
ISSN:	1029-0265 0020-7160
Popis:	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 asociative. This generalizes a recent result by Y. Paul [7].
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ac44b6e84865aa0b01c634e36deddcb6 https://doi.org/10.1080/00207169308804211 Zobrazit plný text záznamu