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Magma

  

IsBand

  

test whether a magma is a band

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsBand( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

A band is an idempotent semigroup, that is, an associative magma in which the identity XX = X is satisfied.

• 

The IsBand command returns true if the given magma is a band. It returns false otherwise.

Examples

withMagma:

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

m:=111123333

(1)

IsBandm

true

(2)

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

m:=123233312

(3)

IsBandm

false

(4)

Compatibility

• 

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

• 

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

See Also

IsIdempotent

IsSemigroup

Magma

 


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