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arXiv · 0901.4819

Flat modules and Gröbner bases over truncated discrete valuation rings

Toshiro Hiranouchi·Yuichiro Taguchi
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Abstract

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.

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Toshiro Hiranouchi, Yuichiro Taguchi. 2009-04-27. Flat modules and Gröbner bases over truncated discrete valuation rings. https://arxiv.org/abs/0901.4819

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