ApCoCoA-1:BBSGen.NonStand

BBSGen.Wmat

This function computes the non-standard Indeterminates with respect to the arrow grading in the Coordinate Ring of Border Basis Scheme.

Syntax

NonStand(OO,BO,N,W);
NonStand(OO:LIST,BO:LIST,N:INTEGER,W:MATRIX):LIST

Description

• @param The order ideal OO, the border BO the number of Indeterminates of the Polynomial Ring and the Weight Matrix.

• @return List of Indeterminates and their degree wrt. the arrow grading.

Example

Use R::=QQ[x[1..2]];

OO:=BB.Box([1,1]);
BO:=BB.Border(OO);
 W:=BBSGen.Wmat(OO,BO,N);



BBSGen.NonStand(OO,BO,N,W);

[[c[1,3], [R :: 1, R :: 2]], 
[c[1,4], [R :: 2, R :: 1]],
 [c[2,3], [R :: 1, R :: 1]], 
[c[3,4], [R :: 1, R :: 1]]]

BB.Border

BB.Box

BBSGen.Wmat