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A Generalization of Moufang and Steiner Loops
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kinyon, Michael K. Kunen, Kenneth Phillips, J. D. March |
| Copyright Year | 2001 |
| Abstract | We study a variety of loops, RIF, which arise naturally from considering the inner mapping group, and a somewhat larger variety, WRIF. All Steiner and Moufang loops are RIF, and all flexible C-loops are WRIF. We show that all WRIF loops are diassociative, thus generalizing Moufang’s Theorem. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0105015v1.pdf |
| Alternate Webpage(s) | http://www.math.wisc.edu/~kunen/rif.ps |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |