Abstract
This paper presents our experiments using an automated reasoning program, called the Z-module reasoning system, to prove a number of interesting theorems in right alternative rings. Important results include a computer solution of the conjecture that (x, x, y)2 x(x, x, y) 2=0 holds in every right alternative ring and a computer solution of a generalized version of this conjecture. The paper illustrates how one uses the Z-module reasoning system to solve different problems with varying complexity.
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This research was supported by the Applied Mathematical Sciences subprogram of the office of Energy Research, U.S. Department of Energy, under contract W-31-109-Eng-38.
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Wang, TC., Stevens, R. Solving open problems in right alternative rings with Z-module reasoning. J Autom Reasoning 5, 141–165 (1989). https://doi.org/10.1007/BF00243001
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DOI: https://doi.org/10.1007/BF00243001