No CrossRef data available.
Article contents
On the Inversion of Right Invariant Elements
Published online by Cambridge University Press: 20 November 2018
Extract
In this note we show that every (not necessarily commutative) integral domain R has a quotient ring which, although need not be a field, has the property that all of its right invariant elements are units. As an application this shows that every PRI (principal right ideal) domain can be embedded in a simple PRI domain which is, in general, not a field.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1975