fmpz_mpoly_vec_is_autoreduced, fmpz_mpoly_vec_autoreduction, fmpz_mpoly_vec_autoreduction_groebner
Synopsis
#include <flint/fmpz_mpoly.h>int fmpz_mpoly_vec_is_autoreduced(const fmpz_mpoly_vec_t G, const fmpz_mpoly_ctx_t ctx)sourcevoid fmpz_mpoly_vec_autoreduction(fmpz_mpoly_vec_t H, const fmpz_mpoly_vec_t F, const fmpz_mpoly_ctx_t ctx)sourcevoid fmpz_mpoly_vec_autoreduction_groebner(fmpz_mpoly_vec_t H, const fmpz_mpoly_vec_t G, const fmpz_mpoly_ctx_t ctx)sourceTest whether the vector is autoreduced (inter-reduced): no term of an element is divisible by the leading monomial of another element; and set H to the autoreduction of F. The groebner version assumes that G is a Gröbner basis and produces the reduced Gröbner basis, which is unique up to the order of the entries.
Cite this page
The FLINT team, “fmpz_mpoly_vec_is_autoreduced, fmpz_mpoly_vec_autoreduction, fmpz_mpoly_vec_autoreduction_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_autoreduced.html (generated 2026-10-20).
@misc{flint-doc-fmpz-mpoly-fmpz-mpoly-vec-is-autoreduced,
author = {{The FLINT team}},
title = {{fmpz\_mpoly\_vec\_is\_autoreduced, fmpz\_mpoly\_vec\_autoreduction, fmpz\_mpoly\_vec\_autoreduction\_groebner (fmpz\_mpoly.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fmpz_mpoly/fmpz_mpoly_vec_is_autoreduced.html},
note = {Generated 2026-10-20}
}