When Is a Bol Loop Moufang?-Reference-Cited by-同舟云学术

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When Is a Bol Loop Moufang?

Published:2012-10-31 Issue:spec01 Volume:19 Page:927-946
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Chein Orin¹,Goodaire Edgar G.²,Kinyon Michael³

Affiliation:

1. Temple University, Philadelphia, PA 19122, USA

2. Memorial University of Newfoundland, St. John's, Newfoundland A1C 5S7, Canada

3. University of Denver, Denver, CO 80208, USA

Abstract

There are a number of identities which, if satisfied by a Bol loop, imply that the loop is actually Moufang. In this paper we show that in a number of cases, the Moufang identity is also forced not by a single identity, but by giving elements a choice of equations to satisfy.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S100538671200079X

Reference15 articles.

1. Finite Bol loops

2. Loops whose loop rings in characteristic 2 are alternative

3. Bol loops with a unique nonidentity commutator/associator

4. Bol Loops of Nilpotence Class Two

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