Geodesic
Improved Buchberger's algorithm
Trudy Instituta matematiki, Tome 20 (2012) no. 1, pp. 3-13

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We propose an improved Buchberger's algorithm that jointly uses known and new criteria of elimination of critical pairs. New criteria are based on construction of a minimal set of generators of the module generated by the critical syzygies. 
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     author = {S. V. Agievich},
     title = {Improved {Buchberger's} algorithm},
     journal = {Trudy Instituta matematiki},
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     volume = {20},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2012_20_1_a0/}
}
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S. V. Agievich. Improved Buchberger's algorithm. Trudy Instituta matematiki, Tome 20 (2012) no. 1, pp. 3-13. http://geodesic.mathdoc.fr/item/TIMB_2012_20_1_a0/