Flat modules and Gröbner bases over truncated discrete valuation rings

Details Flat modules and Gröbner bases over truncated discrete valuation rings Flat modules and Gröbner bases over truncated discrete valuation rings

2009-01-30

arxiv.org/abs/0901.4819v2

Mathematics

Commutative Algebra

Scientific paper

We present basic properties of Gr\"obner 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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