Flat modules and Gröbner bases over truncated discrete valuation rings

Simple item page
dc.creatorHiranouchi, Toshiro
dc.creatorTaguchi, Yuichiro
dc.date2009-01-30
dc.date2009-04-27
dc.date.accessioned2026-07-07T13:08:19Z
dc.date.available2026-07-07T13:08:19Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0901.4819
dc.identifierhttp://arxiv.org/abs/0901.4819
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228382
dc.subjectCommutative Algebra
dc.subjectNumber Theory
dc.subject13P10; 13C11; 11S15
dc.titleFlat modules and Gröbner bases over truncated discrete valuation rings
dc.typetext

Files

Collections

arXiv