Symbolic powers of prime ideals and their topology
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- by Peter Schenzel PDF
- Proc. Amer. Math. Soc. 93 (1985), 15-20 Request permission
Abstract:
For a prime ideal $P$ of a commutative Noetherian ring $R$ a necessary and sufficient condition is given to determine when the $P$-adic topology is equivalent, resp. linearly equivalent, to the $P$-symbolic topology. The last means that the symbolic Rees ring is a finitely generated module over the ordinary Rees ring of $P$. Then it is considered when the integral closure of all the powers of $P$ are primary.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 15-20
- MSC: Primary 13C15; Secondary 13A17, 13H10, 13J99
- DOI: https://doi.org/10.1090/S0002-9939-1985-0766518-9
- MathSciNet review: 766518