test for the existence of a (two-sided) zero element in a finite magma - Maple Help

Online Help

All Products    Maple    MapleSim


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

Magma[HasZero] - test for the existence of a (two-sided) zero element in a finite magma

Calling Sequence

HasZero( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

The HasZero command returns true if the given magma has a zero element; that is, an element z such that z*x = x*z = z, for all x in m. It returns false otherwise.

Examples

withMagma:

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

m:=111133122

(1)

HasZerom

false

(2)

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

m:=111111211

(3)

HasZerom

true

(4)

See Also

HasLeftZero, HasRightZero, Magma, Zero


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