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Flat modules and Gröbner bases over truncated discrete valuation rings
release_o6sixzjqlfbcboqfni4v2evvb4
by
Toshiro Hiranouchi, Yuichiro Taguchi
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as a article
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2009
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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0901.4819v1
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