Article contents
On Condensed Noetherian Domains Whose Integral Closures are Discrete Valuation Rings
Published online by Cambridge University Press: 20 November 2018
Abstract
A condensed domain is an integral domain such that IJ = {xy : x ∊ I, y ∊ J } holds for each pair I, J of ideals. We prove that, under suitable conditions, a subring of a discrete valuation ring is condensed if and only if it contains an element of value 2. We also define the concept strongly condensed.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1989
References
- 2
- Cited by