compute the nucleus of a magma
Nucleus( m )
Array representing the Cayley table of a finite magma
The nucleus of a magma is the set of its members that associate with every member of the magma. That is, an element x is in the nucleus if all of the equations (xy)z = x(yz), (yx)z = y(xz) and (yz)x = y(zx) are satisfied, for all y and z from the magma.
The Nucleus command returns the nucleus of the magma m as a set.
m ≔ 1|2|3,2|3|1,3|1|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 ≔ 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
The Magma[Nucleus] command was introduced in Maple 15.
For more information on Maple 15 changes, see Updates in Maple 15.
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