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Magma

  

IsZeropotent

  

test whether a magma is zeropotent

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsZeropotent( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

A magma is zeropotent if it satisfies the identities (X*X)*Y = (Y*Y)*X = X*X.

• 

The IsZeropotent command returns true if the given magma is zeropotent. It returns false otherwise.

Examples

withMagma:

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

m111212321

(1)

IsZeropotentm

true

(2)

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

m123233312

(3)

IsZeropotentm

false

(4)

Compatibility

• 

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

• 

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

See Also

Magma