test whether a finite magma is distributive - Maple Help

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Magma[IsDistributive] - test whether a finite magma is distributive

Calling Sequence

IsDistributive( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

The IsDistributive command returns true if the given magma satisfies the  left and right distributive laws X(YZ) = (XY)(XZ) and (XY)Z = (XZ)(YZ). It returns false otherwise.

Examples

withMagma:

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

m:=111122133

(1)

IsDistributivem

true

(2)

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

m:=123233312

(3)

IsDistributivem

false

(4)

See Also

IsLeftDistributive, IsRightDistributive, Magma


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