F-quasigroups and generalized modules
群论
2016-08-16 v1 环与代数
摘要
In math.GR/0510298, we showed that every F-quasigroup is linear over a special kind of Moufang loop called an NK-loop. Here we extend this relationship by showing an equivalence between the equational class of (pointed) F-quasigroups and the equational class corresponding to a certain notion of generalized module (with noncommutative, nonassociative addition) for an associative ring.
引用
@article{arxiv.math/0512244,
title = {F-quasigroups and generalized modules},
author = {Tomáš Kepka and Michael Kinyon and J. D. Phillips},
journal= {arXiv preprint arXiv:math/0512244},
year = {2016}
}
备注
9 pages, refers to math.GR/0510298