compute the center of a magma - Maple Help

Online Help

All Products    Maple    MapleSim


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

Magma[Center] - compute the center of a magma

Calling Sequence

Center( m )

Centre( m )

Parameters

m

-

Array representing the Cayley table of a finite magma

Description

• 

The center of a magma is the set of its members that both commute and associate with every member of the magma. Alternatively, it is the intersection of the nucleus and the commutant.

• 

The Center command returns the center of the magma m as a set.  The spelling Centre is also supported as a synonym.

Examples

withMagma:

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

m:=123231312

(1)

Centerm

1,2,3

(2)

m:=1|1|1|1|1,1|1|1|1|1,1|1|1|1|1,1|1|1|2|4,1|2|2|4|5

m:=1111111111111111112412245

(3)

Centerm

1

(4)

m:=1|1|1|1|1,1|1|1|1|1,1|1|1|1|1,1|1|1|2|4,1|2|1|4|5

m:=1111111111111111112412145

(5)

Centerm

1,3

(6)

See Also

Commutant, Magma, Nucleus


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