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Groebner Basis Package

Garry Helzer
Organization: University of Maryland
Department: Mathematics
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This package provides functions for Groebner Basis and Normal form computations in polynomial rings over the rational field and the fields of integers modulo a prime. Unlike the Mathematica function GroebnerBasis, the functions provided will compute Groebner bases with respect to arbitrary term orders and compute bases of submodules of free modules as well as ideals. The extended versions of the functions compute the transformation matrices relating one basis to another. Unlike the Mathematica function AlgebraicRules the normal form functions will compute remainders with respect to arbitrary term orders and the extended versions compute quotients as well as remainders. In addition there are a number of utility functions for computing leading terms, syzygys, and the like.

*Mathematics > Algebra > Polynomials
*Wolfram Technology > Programming > Equation Solving

Groebner basis, grobner basis, groebner bases, grobner bases, pure mathematics, applied mathematics, pure math, applied math, algebraic rules, GroebnerBasis, AlgebraicRules, Ideal Polynomials
Downloads Download Wolfram CDF Player

GroebDoc.nb (151.1 KB) - Mathematica Notebook
Groebner.m (29.3 KB) - Mathematica Package

Files specific to Mathematica 2.2 version:
GroebDoc.ma (51.6 KB) - Mathematica Notebook 2.2 or older