Article contents
Overrings of Bezout Domains
Published online by Cambridge University Press: 20 November 2018
Extract
In [2] Brungs shows that every ring T between a principal (right and left) ideal domain R and its quotient field is a quotient ring of R. In this note we obtain similar results without assuming the ascending chain conditions. For a (right and left) Bezout domain R we show that T is a quotient ring of R which is again a Bezout domain; furthermore Tis a valuation domain if and only if T is a local ring.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1973
References
- 6
- Cited by