A Generalization of Moufang and Steiner Loops

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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.
19 pp., 1 fig., uses amsart.cls, pifont.sty; to appear in Algebra Universalis

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Group Theory, 20N05

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http://salesiana.dossiersoluciones.com/handle/123456789/61410

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0105015
 http://arxiv.org/abs/math/0105015
 Algebra Universalis 48 (2002), no. 1, 81--101

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arXiv