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Magma

  

HasIdentity

  

test whether a finite magma has a (two-sided) identity element

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

HasIdentity( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

The HasIdentity command returns true if the given magma has a two-sided identity element. That is, an element i such that i*x = x*i = x, for all x in m.  Otherwise, it returns the value false.

Examples

withMagma:

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

m:=123231312

(1)

HasIdentitym

true

(2)

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

m:=112223212

(3)

HasIdentitym

false

(4)

Compatibility

• 

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

• 

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

See Also

IsIdentity

Magma

 


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