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Magma

  

IsLoop

  

test whether a finite magma is a loop

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsLoop( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

A loop is a quasigroup with an identity element.

• 

The IsLoop command returns true if the given magma is a loop, and returns false otherwise.

Examples

withMagma:

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

m123231312

(1)

IsLoopm

true

(2)

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

m132213321

(3)

IsLoopm

false

(4)

Compatibility

• 

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

• 

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

See Also

HasIdentity

IsQuasigroup

Magma