A Generalization of Moufang and Steiner Loops
| dc.creator | Kinyon, Michael K. | |
| dc.creator | Kunen, Kenneth | |
| dc.creator | Phillips, J. D. | |
| dc.date | 2001-05-02 | |
| dc.date | 2001-11-22 | |
| dc.date.accessioned | 2026-07-07T04:41:34Z | |
| dc.date.available | 2026-07-07T04:41:34Z | |
| dc.description | 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. | |
| dc.description | 19 pp., 1 fig., uses amsart.cls, pifont.sty; to appear in Algebra Universalis | |
| dc.identifier | https://arxiv.org/abs/math/0105015 | |
| dc.identifier | http://arxiv.org/abs/math/0105015 | |
| dc.identifier | Algebra Universalis 48 (2002), no. 1, 81--101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61410 | |
| dc.subject | Group Theory | |
| dc.subject | 20N05 | |
| dc.title | A Generalization of Moufang and Steiner Loops | |
| dc.type | text |