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Magma

  

IsIdempotent

  

test whether a given magma is idempotent

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsIdempotent( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

The IsIdempotent command returns true if the given magma is idempotent, that is, if it satisfies the law X*X = X.  It returns false otherwise.

Examples

withMagma:

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

m:=112223123

(1)

IsIdempotentm

true

(2)

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

m:=123233312

(3)

IsIdempotentm

false

(4)

Compatibility

• 

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

• 

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

See Also

Magma

 


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