test whether a given magma is idempotent - Maple Help

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Magma[IsIdempotent] - test whether a given magma is idempotent

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:

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

m:=112223123

(1)

IsIdempotentm

true

(2)

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

m:=123233312

(3)

IsIdempotentm

false

(4)

See Also

Magma


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