Gröbner bases: An introduction

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Abstract

Gröbner bases form a core topic of computer algebra and are needed for various subsequent chapters of this book. There are several ways of looking at the famous Buchberger algorithm for constructing Gröbner bases. In this section, we give three interpretations. In the following sections, the Buchberger algorithm and its role according to each interpretation will be discussed in detail.

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Buchberger, B. (1992). Gröbner bases: An introduction. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 623 LNCS, pp. 378–379). Springer Verlag. https://doi.org/10.1007/3-540-55719-9_89

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