F-quasigroups and generalized modules

Details F-quasigroups and generalized modules F-quasigroups and generalized modules

2005-12-12

arxiv.org/abs/math/0512244v1

Comment. Math. Univ. Carolin. 49 (2008), no. 2, 249-257

Mathematics

Group Theory

9 pages, refers to math.GR/0510298

Scientific paper

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.

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