Flat modules and Gr\"obner bases over truncated discrete valuation rings
Commutative Algebra
2009-04-27 v2 Number Theory
Abstract
We present basic properties of Gr\"obner bases of submodules of a free module of finite rank over a polynomial ring with coefficients in a graded truncated discrete valuations ring . As an application, we give a criterion for a finitely generated -module to be flat over . Its non-graded version is also given.
Keywords
Cite
@article{arxiv.0901.4819,
title = {Flat modules and Gr\"obner bases over truncated discrete valuation rings},
author = {Toshiro Hiranouchi and Yuichiro Taguchi},
journal= {arXiv preprint arXiv:0901.4819},
year = {2009}
}