A new stability condition of monomial bases is introduced. This stability condition is stronger than Kapur-Sun-Wang's one. Moreover, a new algorithm for computing comprehensive Grobner systems, is also introduced by using the new stability condition. A number of segments generated by the new algorithm is smaller than that of segments of in Kapur-Sun-Wang's algorithm.
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Univ Genoa, Dipartimento Matemat, Via Dodecaneso 35, I-16146 Genoa, ItalyUniv Genoa, Dipartimento Matemat, Via Dodecaneso 35, I-16146 Genoa, Italy
Bigatti, Anna Maria
Palezzato, Elisa
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Hokkaido Univ, Dept Math, Kita 10,Nishi 8,Kita Ku, Sapporo, Hokkaido 0600810, JapanUniv Genoa, Dipartimento Matemat, Via Dodecaneso 35, I-16146 Genoa, Italy
Palezzato, Elisa
Torielli, Michele
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No Arizona Univ, Dept Math & Stat, 801 S Osborne Dr, Flagstaff, AZ 86001 USAUniv Genoa, Dipartimento Matemat, Via Dodecaneso 35, I-16146 Genoa, Italy