test whether a finite magma is a crossed set - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Algebra : Magma : Magma/IsCrossedSet

Magma[IsCrossedSet] - test whether a finite magma is a crossed set

Calling Sequence

IsCrossedSet( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

A crossed set is a quandle Q such that, for all x and y in Q, we have x * y = x if, and  only if, y * x = y.

• 

The IsCrossedSet command returns true if the given magma is a crossed set.  It returns false otherwise.

• 

Note that it is not assumed that the magma m is a quandle, so this check is applied first.

Examples

withMagma:

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

m:=132321213

(1)

IsCrossedSetm

true

(2)

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

m:=111322233

(3)

IsCrossedSetm

false

(4)

See Also

IsQuandle, Magma


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam