The finiteness of $I$ when ${{R\left [ X \right ]} \left / {\vphantom {{R\left [ X \right ]} I}} \right . \kern -\nulldelimiterspace I}$ is flat
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- by Jack Ohm and David E. Rush PDF
- Bull. Amer. Math. Soc. 77 (1971), 793-796
References
- Masayoshi Nagata, Finitely generated rings over a valuation ring, J. Math. Kyoto Univ. 5 (1966), 163–169. MR 193088, DOI 10.1215/kjm/1250524533
- Masayoshi Nagata, Flatness of an extension of a commutative ring, J. Math. Kyoto Univ. 9 (1969), 439–448. MR 255530, DOI 10.1215/kjm/1250523905
- Wolmer V. Vasconcelos, Simple flat extensions, J. Algebra 16 (1970), 105–107. MR 265342, DOI 10.1016/0021-8693(70)90043-8
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 793-796
- MSC (1970): Primary 13A15, 13B25, 13C10; Secondary 13B20
- DOI: https://doi.org/10.1090/S0002-9904-1971-12808-2
- MathSciNet review: 0279091