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Magma

  

HasZero

  

test for the existence of a (two-sided) zero element in a finite magma

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

HasZero( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

The HasZero command returns true if the given magma has a zero element; that is, an element z such that z*x = x*z = z, for all x in m. It returns false otherwise.

Examples

withMagma:

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

m:=111133122

(1)

HasZerom

false

(2)

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

m:=111111211

(3)

HasZerom

true

(4)

Compatibility

• 

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

• 

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

See Also

HasLeftZero

HasRightZero

Magma

Zero

 


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