Groebner bases algorithm: an introduction

Groebner bases algorithm: an introduction
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Groebner Bases is a technique that provides algorithmic solutions to a variety of problems in Commutative Algebra and Algebraic Geometry. In this introductory tutorial the basic algorithms as well as their generalization for computing Groebner basis of a set of multivariate polynomials are presented. The Groebner basis technique is applied to solve systems of polynomial equations in several variables. This technical report investigates this application.

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