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IsKei

  

test whether a magma is a kei (involutary quandle)

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsKei( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

The IsKei command returns true if the given magma is a kei. It returns false otherwise.

• 

A kei, also called an involutary quandle, is a quandle that satisfies the right involutary law (XY)Y = X.

Examples

withMagma:

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

m132321213

(1)

IsKeim

true

(2)

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

m123231332

(3)

IsKeim

false

(4)

Compatibility

• 

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

• 

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

See Also

IsQuandle

IsRightInvolutary

Magma