test whether a magma is alternative - Maple Help

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Magma[IsAlternative] - test whether a magma is alternative

Calling Sequence

IsAlternative( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

The IsAlternative command returns true if the given magma satisfies the laws (X*X)*Y = X*(X*Y) and X*(Y*Y) = (X*Y)*Y. It returns false otherwise.

Examples

withMagma:

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

m:=123231312

(1)

IsAlternativem

true

(2)

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

m:=123233312

(3)

IsAlternativem

false

(4)

See Also

Magma


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