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PDF Availablehttps://doi.org/10.4036/iis.2010.33
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Cite Publication Date: Jan 1, 2010 | |
 License type: free |
Affiliation: Hiroshima University, Kyushu University
We present basic properties of Grobner 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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