Rings with (a,b,c) - (a,c,b) = 0 and (a,[b,c],d) = 0: A Case Study Using Albert
نویسنده
چکیده
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 e ectively. 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) (a; c; b) = (a; [b; c]; d) = 0, is associative. This generalizes a recent result by Y. Paul [7].
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