# ApCoCoA-1:BB.GenericBB

From ApCoCoAWiki

## BB.GenericBB

Compute a generic border basis.

### Syntax

BB.GenericBB(OO:LIST):LIST

### Description

Computes the "generic" border basis w.r.t. an order ideal OO i.e. the polys <formula>g_j = b_j - \sum_i c_{ij} t_i</formula>. The input is a list of terms OO (2nd element of type POLY). The output is a list of POLY in a "universal family ring" UF where <formula>UF = K[x_1,..,x_n,c_{ij}]</formula>.

@param

*OO*A list of terms representing an order ideal.@return A list of generic border basis polynomials w.r.t. to an order ideal OO. The polynomials will belong to the ring UF = K[x_1,..,x_n,c_{ij}].