test whether a given magma is commutative - Maple Help

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Magma[IsCommutative] - test whether a given magma is commutative

Calling Sequence

IsCommutative( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

The IsCommutative command returns true if the given magma satisfies the commutativity identity XY = YX.  It returns false otherwise.

Examples

withMagma:

m:=1|2|3,2|3|1,3|1|2

m:=123231312

(1)

IsCommutativem

true

(2)

m:=1|2|3,2|3|3,3|1|2

m:=123233312

(3)

IsCommutativem

false

(4)

See Also

Magma


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