| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4624470 | Advances in Applied Mathematics | 2016 | 8 Pages |
Abstract
Bayer–Stillman showed that reg(I)=reg(ginτ(I))reg(I)=reg(ginτ(I)) when τ is the graded reverse lexicographic order. We show that the reverse lexicographic order is the unique monomial order τ satisfying reg(I)=reg(ginτ(I))reg(I)=reg(ginτ(I)) for all ideals I . We also show that if ginτ1(I)=ginτ2(I)ginτ1(I)=ginτ2(I) for all I , then τ1=τ2τ1=τ2.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
HyunBin Loh,