Free derivation modules and a criterion for regularity
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- by Selmer Moen PDF
- Proc. Amer. Math. Soc. 39 (1973), 221-227 Request permission
Abstract:
Let $k$ be an algebraically closed field of characteristic zero, $R$ an affine $k$-algebra. We prove that if the ideal of the variety of $R$ can be generated by an $S$-sequence of forms in a polynomial ring $S$, and if the module of $k$-derivations of $R$ into itself is a free $R$ module, then $R$ is regular.References
- Helmut Krämer, Eine Bemerkung zu einer Vermutung von Lipman, Arch. Math. (Basel) 20 (1969), 30–35. MR 244237, DOI 10.1007/BF01898988
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- R. E. MacRae, On an application of the Fitting invariants, J. Algebra 2 (1965), 153–169. MR 178038, DOI 10.1016/0021-8693(65)90016-5
- A. Seidenberg, Differential ideals in rings of finitely generated type, Amer. J. Math. 89 (1967), 22–42. MR 212027, DOI 10.2307/2373093
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 39 (1973), 221-227
- MSC: Primary 13B10
- DOI: https://doi.org/10.1090/S0002-9939-1973-0313239-4
- MathSciNet review: 0313239