Details:
Title  Some important notions of Groebner basis and Buchberger's algorithm  Author(s)  Shiv Datt Kumar  Type  Technical Report, Misc  Abstract  Buchberger’s Algorithm for Groebner basis furnishes the engine for computations in different areas of mathematics. Theory of Groebner basis is the basis of many mathematical computer softwares like Singular, CoCoA, and many functions of Mathematica, Maple, Macauley etc. In this article we describe some of the important and elementary crucial ideas of Gr¨obner basis theory through examples and we also discuss some basic algorithms viewing it from different angles and give some interesting examples of applications of Groebner basis.  Keywords  Groebner Basis, Buchberger’s Algorithm, Polynomial rings, Ideal  Length  15 
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 Language  English  Year  2006  Translation 
No  Refereed 
No 
