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Signature-Based Gröbner Basis Algorithms --- Extended MMM Algorithm for computing Gröbner bases (1308.2371v1)
Published 11 Aug 2013 in cs.SC
Abstract: Signature-based algorithms is a popular kind of algorithms for computing Gr\"obner bases, and many related papers have been published recently. In this paper, no new signature-based algorithms and no new proofs are presented. Instead, a view of signature-based algorithms is given, that is, signature-based algorithms can be regarded as an extended version of the famous MMM algorithm. By this view, this paper aims to give an easier way to understand signature-based Gr\"obner basis algorithms.