Journal Title/Source

Commentationes Mathematicae Universitatis Carolinae

Publication Date

2016

Volume

57

Page Numbers

555–565

Document Type

Journal Article

Department

Mathematics and Computer Science

Abstract

Commutative Moufang loops were amongst the first (nonassociative) loops to be investigated; a great deal is known about their structure. More generally, the interplay of commutativity and associativity in (not necessarily commutative) Moufang loops is well known, e.g., the many associator identities and inner mapping identities involving commutant elements, especially those involving the exponent three. Here, we investigate all of this in the variety of Bol loops.

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