The conormal module of an almost complete intersection
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- by Ernst Kunz PDF
- Proc. Amer. Math. Soc. 73 (1979), 15-21 Request permission
Abstract:
The conormal module of an ideal I in a commutative ring S is the $S/I$-module $I/{I^2}$. Assume S is a regular noetherian ring and I a prime ideal, which is locally everywhere a complete intersection or an almost complete intersection (i.e. needs one generator more than in the complete intersection case). In this situation necessary and sufficient conditions for $I/{I^2}$ being torsion free are given. Moreover the torsion of $I/{I^2}$ is expressed in terms of Kähler differentials of $S/I$.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 73 (1979), 15-21
- MSC: Primary 13F99; Secondary 14M10
- DOI: https://doi.org/10.1090/S0002-9939-1979-0512049-8
- MathSciNet review: 512049