• Mathematics
  • Published 2013

Constructing Double Magma with Commutation Operations

@inproceedings{Edmunds2013ConstructingDM,
  title={Constructing Double Magma with Commutation Operations},
  author={Charles C. Edmunds},
  year={2013}
}
A double magma is a nonempty set with two binary operations satisfying the interchange law. We call a double magma proper if the two operations are distinct and commutative if the operations are commutative. A double semigroup is a double magma for which both operations are associative. Given a group G we define a double magma (G,*,#) with the commutator operations x * y = [x,y] (= x^-1y^-1xy) and x # y = [y,x]. We show that (G,*,#) is a double magma if and only if G satisfies the commutator… CONTINUE READING

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