The concept of comprehensive Grobner bases was introduced by Weispfenning. Montes has proposed an efficient algorithm for computing these bases. But he has not explicitly used Buchberger's criteria in his algorithm. In this paper we prove that we can apply these criteria on Montes algorithm. We propose a modified version of Montes algorithm and evaluate its performance via some examples.
Hashemi, A., Dehghani Darmian, M. & M.-Alizadeh, B. (2012). Applying Buchberger's criteria on Montes's DisPGB algorithm. Bulletin of the Iranian Mathematical Society, 38(3), 715-724.
MLA
Hashemi, A., Dehghani Darmian, M., & M.-Alizadeh, B. "Applying Buchberger's criteria on Montes's DisPGB algorithm", Bulletin of the Iranian Mathematical Society, 38, 3, 2012, 715-724.
HARVARD
Hashemi A., Dehghani Darmian M., M.-Alizadeh B. (2012). 'Applying Buchberger's criteria on Montes's DisPGB algorithm', Bulletin of the Iranian Mathematical Society, 38(3), pp. 715-724.
CHICAGO
A. Hashemi, M. Dehghani Darmian & B. M.-Alizadeh, "Applying Buchberger's criteria on Montes's DisPGB algorithm," Bulletin of the Iranian Mathematical Society, 38 3 (2012): 715-724,
VANCOUVER
Hashemi A., Dehghani Darmian M., M.-Alizadeh B. Applying Buchberger's criteria on Montes's DisPGB algorithm. BIMS. 2012;38(3):715-724.
