The structure of free automorphic Moufang loops-Reference-Cited by-同舟云学术

The structure of free automorphic Moufang loops

Published:2011-12-27 Issue:7 Volume:140 Page:2209-2214
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Grishkov A.,Plaumann P.,Sabinina L.

Abstract

We describe the structure of a free loop of rank n n in the variety of automorphic Moufang loops as a subdirect product of a free group and a free commutative Moufang loop, both of rank n n . In particular, the variety of automorphic Moufang loops is the join of the variety of groups and the variety of commutative Moufang loops.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2012-140-07/S0002-9939-2011-11085-2/S0002-9939-2011-11085-2.pdf

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