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Varieties Of Nonassociative Rings Of Bol-Moufang Type, Ronald E. White
Varieties Of Nonassociative Rings Of Bol-Moufang Type, Ronald E. White
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In this paper we investigate Bol-Moufang identities in a more general and very natural setting, \textit{nonassociative rings}.
We first introduce and define common algebras. We then explore the varieties of nonassociative rings of Bol-Moufang type. We explore two separate cases, the first where we consider binary rings, rings in which we make no assumption of it's structure. The second case we explore are rings in which, $2x=0$ implies $x=0$.