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Magma

  

IsSteiner

  

test whether a magma is a Steiner magma

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsSteiner( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

A Steiner magma is a commutative magma that satisfies the law X*(X*Y) = Y.

• 

The IsSteiner command returns true if the given magma is a Steiner magma. It returns false otherwise.

Examples

withMagma:

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

m132321213

(1)

IsSteinerm

true

(2)

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

m123233312

(3)

IsSteinerm

false

(4)

Compatibility

• 

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

• 

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

See Also

IsCommutative

Magma