test whether an element of a magma is a left identity - Maple Help

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Magma[IsLeftIdentity] - test whether an element of a magma is a left identity

Calling Sequence

IsLeftIdentity( m, id )

Parameters

m

-

Array; magma represented by its Cayley table

id

-

posint; candidate left identity element

Description

• 

The IsLeftIdentity command determines whether an element id of a magma m is a left identity for m.  It returns true if id is a left identity of m, and returns false otherwise.  The element id is a left identity of m if id * x = x, for all x in m.

Examples

withMagma:

m:=1|1|3,3|3|3,1|2|3

m:=113333123

(1)

IsLeftIdentitym,1

false

(2)

IsLeftIdentitym,2

false

(3)

IsLeftIdentitym,3

true

(4)

See Also

IsIdentity, IsRightIdentity, Magma


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