Huebl, Reinhold and Swanson, Irena (2001) Discrete valuations centered on local domains. JOURNAL OF PURE AND APPLIED ALGEBRA, 161 (1-2). pp. 145-166. ISSN 0022-4049
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We study applications of discrete valuations to ideals in analytically irreducible domains, in particular, applications to zero divisors module powers of ideals. We prove a uniform version of Izumi's theorem and calculate several examples illustrating it, such as for rational singularities. The paper contains a new criterion of analytic irreducibility, a new criterion of one-fiberedness, and a valuative criterion for when the normal cone of an ideal in an integrally closed domain is reduced. (C) 2001 Elsevier Science B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | UNIQUE FACTORIZATION; COMPLETE IDEALS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 21 Dec 2021 07:50 |
| Last Modified: | 21 Dec 2021 07:50 |
| URI: | https://pred.uni-regensburg.de/id/eprint/41265 |
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