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Magma

  

IsDistributive

  

test whether a finite magma is distributive

 

Calling Sequence

Parameters

Description

Examples

Compatibility

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:

m1|1|1,1|2|2,1|3|3

m:=111122133

(1)

IsDistributivem

true

(2)

m1|2|3,2|3|3,3|1|2

m:=123233312

(3)

IsDistributivem

false

(4)

Compatibility

• 

The Magma[IsDistributive] command was introduced in Maple 15.

• 

For more information on Maple 15 changes, see Updates in Maple 15.

See Also

IsLeftDistributive

IsRightDistributive

Magma

 


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