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math.AC2015★ 2 cited
Gröbner Bases over Algebraic Number Fields
Dereje Kifle Boku, Claus Fieker, Wolfram Decker +1
Although Buchberger's algorithm, in theory, allows us to compute Gröbner bases over any field, in practice, however, the computational efficiency depends on the arithmetic of the g…
math.AC2015★ 14 cited
Refined Algorithms to Compute Syzygies
Burcin Erocal, Oleksandr Motsak, Frank-Olaf Schreyer +1
Based on Schreyer's algorithm (Schreyer, 1980, 1991; Berkesch and Schreyer, 2014), we present two refined algorithms for the computation of syzygies. The two main ideas of the firs…