Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915Applying Buchberger's criteria on Montes's DisPGB algorithm715724236ENAmirHashemiIsfahan university of technologyMahdiDehghani DarmianIsfahan University of TechnologyBenyaminM.-AlizadehIsfahan University of TechnologyJournal Article20100717The concept of comprehensive Grobner bases was introduced by <br />Weispfenning. Montes has proposed an efficient algorithm for computing <br />these bases. But he has not explicitly used Buchberger's <br />criteria in his algorithm. In this paper we prove that we can <br />apply these criteria on Montes algorithm. We propose a modified <br />version of Montes algorithm and evaluate its performance via some <br />examples.http://bims.iranjournals.ir/article_236_ca40dd8662a34869eb72d1e96231c32d.pdf