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Magma

  

IsMonoid

  

test whether a finite magma is a monoid

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsMonoid( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

A monoid is a semigroup with an identity element.

• 

The IsMonoid command returns true if the given magma is a monoid. It returns false otherwise.

Examples

withMagma:

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

m123231312

(1)

IsMonoidm

true

(2)

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

m123233312

(3)

IsMonoidm

false

(4)

Compatibility

• 

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

• 

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

See Also

HasIdentity

IsSemigroup

Magma