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Rings with (a,b,c) - (a,c,b) = 0 and (a,[b,c],d) = 0: A Case Study Using Albert (1992)
| Content Provider | CiteSeerX |
|---|---|
| Author | Kleinfeld, Erwin Hentzel, Irvin Roy Jacobs, D. P. |
| 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 6= 2; 3, and satisfying the identities (a; b; c) 0 (a; c; b) = (a; [b; c]; d) = 0, is associative. This generalizes a recent result by Y. Paul [7]. Key words: identity, nonassociative polynomial, nonassociative ring, algebra. AMS (MOS) subject classifications: 17D99, 68N99 CR Categories: I.1.3 (Special-purpose algebraic systems), I.1.4 (Applications) 1 Introduction Recently, an interactive computer program known as Albert, for building nonassociative algebras was developed [2]. With this system, the user specifies the generators and the identities that the algebra is to satisfy, as well as the u... |
| File Format | |
| Publisher Date | 1992-01-01 |
| Access Restriction | Open |
| Subject Keyword | Subject Classification Recent Result Interactive Computer System Certain Technique Introduction Recently Interactive Computer Program Nonassociative Ring Traditional Method Nonassociative Algebra Semiprime Ring Case Study Using Albert Fast Way Special-purpose Algebraic System Cr Category Nonassociative Polynomial |
| Content Type | Text |
