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

## borderbasis.BorderBasis

Compute BB of an ideal w.r.t. to an order ideal

### Syntax

\$borderbasis.BorderBasis(F:LIST,OO:LIST):LIST


### Description

Computes the border basis of the ideal <formula>I=<F></formula> with respect to the order ideal OO. Gives an error messages if no border basis exists. Uses the <formula>O_{\sigma}(I)</formula> border basis and the BB transformation. The input is a list of poly F and a list of terms OO. The output is a list of poly.