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Rings with (a, b, c) = (a, c, b) and (a, [b, c]d) = 0: a case study using albert
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hentzel, Irvin Roy Jacobs, David Pokrass Kleinfeld, Erwin |
| Copyright Year | 1993 |
| 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 asociative. This generalizes a recent result by Y. Paul [7]. |
| Starting Page | 19 |
| Ending Page | 27 |
| Page Count | 9 |
| File Format | PDF HTM / HTML |
| DOI | 10.1080/00207169308804211 |
| Volume Number | 49 |
| Alternate Webpage(s) | http://www.cs.clemson.edu/~dpj/albertstuff/albertpapers/usingalbert.ps |
| Alternate Webpage(s) | http://lib.dr.iastate.edu/cgi/viewcontent.cgi?amp%3Bcontext=math_pubs&article=1142 |
| Alternate Webpage(s) | https://doi.org/10.1080/00207169308804211 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |