2009/01/30 by Toshiro Hiranouchi, Hiranouchi, Toshiro, Yuichiro Taguchi +1
Computer Science · Mathematics · #11S15 #13C11 #13P10 #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation #math.AC #math.NT #msc:11S15 #msc:13C11 #msc:13P10
paper · pdf · doi:10.48550/arxiv.0901.4819
openalex publication_date 2009/01/30 · arxiv created 2009/04/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We present basic properties of Gröbner bases of submodules of a free module of finite rank over a polynomial ring R with coefficients in a graded truncated discrete valuations ring A. As an application, we give a criterion for a finitely generated R-module to be flat over A. Its non-graded version is also given.