2009/07/15 by Huishi Li, Li, Huishi
Mathematics · Computer Science · Medicine · #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #Cancer Treatment and Pharmacology
paper · pdf · doi:10.48550/arxiv.0907.2483
By employing the (de)homogenization technique in a relatively extensive setting, this note studies in detail the relation between non-homogeneous Gröbner bases and homogeneous Gröbner bases. As a consequence, a general principle of computing Gröbner bases (for an ideal and its homogenization ideal) by passing to homogenized generators is clarified systematically. The obtained results improve and strengthen the work of [LWZ], [Li1], [Li2], [Li3], and very recent [SL] concerning the same topic.