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A Generalization of Moufang and Steiner Loops

Michael K. Kinyon·Kenneth Kunen·J. D. Phillips
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Abstract

We study a variety of loops, RIF, which arise naturally from considering inner mapping groups, and a somewhat larger variety, ARIF. All Steiner and Moufang loops are RIF, and all flexible C-loops are ARIF. We show that all ARIF loops are diassociative, thus generalizing Moufang's Theorem.

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Michael K. Kinyon, Kenneth Kunen, J. D. Phillips. 2001-11-22. A Generalization of Moufang and Steiner Loops. https://arxiv.org/abs/math/0105015

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