Rings with (aa Bb C) = (aa Cc B) and (aa Bb C] D ) = 0: a Case Study Using Albert
نویسندگان
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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