Journal article
A property of weakly Krull domains
Proceedings of the American Mathematical Society, Vol.131(12), pp.3689-3692
2003
DOI: 10.1090/S0002-9939-03-07047-3
Abstract
We show that a weakly Krull domain D satisfies (): for every pair a, b ∈ D\{0} there is an n = n(a, b) ∈ N such that (a, bn) is t-invertible. For D Noetherian, D satisfies () if and only if every grade-one prime ideal of D is of height one. We also show that a modification of () can be used to characterize Noetherian domains that are one-dimensional.
Details
- Title: Subtitle
- A property of weakly Krull domains
- Creators
- D. D AndersonMuhammad Zafrullah
- Resource Type
- Journal article
- Publication Details
- Proceedings of the American Mathematical Society, Vol.131(12), pp.3689-3692
- DOI
- 10.1090/S0002-9939-03-07047-3
- ISSN
- 0002-9939
- eISSN
- 1088-6826
- Language
- English
- Date published
- 2003
- Academic Unit
- Mathematics
- Record Identifier
- 9983985703002771
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