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Flat modules and Gröbner bases over truncated discrete valuation rings
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Abstract | We present basic properties of Groebner bases of submodules of a free module of finite rank over a polynomial ring with coefficients in a tdvr (:= truncated discrete valuations ring). As an applicatio...n, we give a criterion for an algebra of finite type over a tdvr to be flat and prove the existence of a flat lifting of a flat algebra over a tdvr.show more |
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Created Date | 2010.12.25 |
Modified Date | 2018.02.06 |