test whether a given magma is anti-commutative - Maple Help

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Magma[IsAntiCommutative] - test whether a given magma is anti-commutative

Calling Sequence

IsAntiCommutative( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

The IsAntiCommutative command returns true if the given magma is anti-commutative, that is, if X*Y = Y*X only if X = Y. It returns false otherwise.

Examples

withMagma:

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

m:=113332211

(1)

IsAntiCommutativem

true

(2)

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

m:=123233312

(3)

IsAntiCommutativem

false

(4)

See Also

Magma


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