Mathematics – Commutative Algebra
Scientific paper
2009-01-30
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.
Hiranouchi Toshiro
Taguchi Yuichiro
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