# Difference between revisions of "ApCoCoA-1:BB.LiftHomND"

## BB.LiftHomND

Computes the homogeneous border basis scheme ideal generators obtained from lifting of next-door neighbors.

### Syntax

BB.LiftHomND(OO:LIST):LIST


### Description

This command computes the generators of the border basis scheme ideal I(B^hom_O) that result from the lifting of next-door (ND) neighbors.

• @param OO A list of terms representing an order ideal. The second element is of type POLY.

• @return A list of generators of the homogeneous border basis scheme ideal. The polynomials will belong to the ring BBS=K[c_{ij}].

#### Example

Use QQ[x,y,z], DegRevLex;
BB.LiftHomND([Poly(1), x, y, xy]);

[BBS :: c[3,1]c[4,4] + c[2,1] - c[4,2],
BBS :: c[2,1]c[4,5] + c[3,1] - c[4,3]]
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