Title of article :
APPLYING BUCHBERGER’S CRITERIA ON MONTES’S DISPGB ALGORITHM
Author/Authors :
Hashemi, Amir isfahan university of technology - Department of Mathematical Sciences, اصفهان, ايران , Dehghani Darmian, Mahdi isfahan university of technology - Department of Mathematical Sciences, اصفهان, ايران , Alizadeh, Benyamin M. isfahan university of technology - Department of Mathematical Sciences, اصفهان, ايران
Abstract :
The concepts of comprehensive Gr¨obner bases and Grobner systems were introduced by Weispfenning in [13]. Montes in [9] has proposed DisPGB algorithm for computing Grobner systems. But he has not explicitly used Buchberger’s criteria in his algorithm. In this paper, we show how to apply these criteria on Montes algorithm, and we propose an improved version of DisPGB.
Keywords :
Grobner bases , Comprehensive Grobner bases , DisPGB algorithm
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
