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Gröbner Bases in Mathematica 3.0
Author

Daniel Lichtblau
Organization: Wolfram Research, Inc.
Journal / Anthology

The Mathematica Journal
Year: 1996
Volume: 6
Issue: 4
Page range: 81-88
Description

Gröbner bases are used heavily throughout computational mathematics. This article demonstrates the new functionality of Mathematica's GroebnerBasis command and describes two new related functions. As examples, we show how GroebnerBasis 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.
Subjects

*Mathematics > Algebra > Field and Ring Theory
*Mathematics > Algebra > Polynomials
Keywords

Groebner bases, symbolic computation
URL

http://www.mathematica-journal.com/issue/v6i4/
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TMJ_GroebnerBasis.pdf (79.5 KB) - PDF Document
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TMJ_GroebnerBasis.nb (158.7 KB) - Mathematica Notebook