Gröbner Bases in Mathematica 3.0

Volume 6, Issue 4
Fall 1996

Gröbner bases are used heavily throughout computational mathematics. This article demonstrates the new functionality of Mathematica's GrobnerBasis command and describes two new related functions. As examples, we show how GrobnerBasis can be used to rationalize denominators and how it can be extended from polynomial ideals to modules.

This paper is dedicated to the memory of my friend and colleague Jerry Keiper.