Flat modules and Gröbner bases over truncated discrete valuation rings release_o6sixzjqlfbcboqfni4v2evvb4

by Toshiro Hiranouchi, Yuichiro Taguchi

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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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Date   2009-01-30
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arXiv  0901.4819v1
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