Commutative Moufang loop

From Groupprops
Jump to: navigation, search
This article defines a property that can be evaluated for a loop.
View other properties of loops

Definition

A commutative Moufang loop or abelian Moufang loop is a Moufang loop that is also a commutative loop.

Relation with other properties

Stronger properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
abelian group

Weaker properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
Moufang loop |FULL LIST, MORE INFO
commutative loop |FULL LIST, MORE INFO