FLINT3.7.0-dev

fmpz_mpoly_vec_is_groebner

Synopsis#include <flint/fmpz_mpoly.h>
int fmpz_mpoly_vec_is_groebner(const fmpz_mpoly_vec_t G, const fmpz_mpoly_vec_t F, const fmpz_mpoly_ctx_t ctx)source

Returns whether G is a Gröbner basis (all S-polynomials reduce to zero) and, if F is not NULL, whether every element of F reduces to zero modulo G, so that G is a Gröbner basis of the ideal generated by F if G is contained in it.

Cite this page

The FLINT team, “fmpz_mpoly_vec_is_groebner (fmpz_mpoly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fmpz_mpoly/fmpz_mpoly_vec_is_groebner.html (generated 2026-10-20).