# ApCoCoA-1:BB.HomNDgens

From ApCoCoAWiki

This article is about a function from ApCoCoA-1. |

## BB.HomNDgens

Computes the generators of the vanishing ideal of a homogeneous border basis scheme.

### Syntax

BB.HomNDgens(K:INT,OO:LIST):LIST

### Description

Computes the generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the `K`-th element of BB.NDneighbors(OO).

@param

*K*An integer in the range 1..Len(BB.NDneighbors(OO)).@param

*OO*A list of terms representing an order ideal.@return A list of generators of the vanishing ideal. The polynomials will belong to the ring BBS=K[c_{ij}].