Article contents
Weak ideal invariance and orders in Artinian rings
Published online by Cambridge University Press: 17 April 2009
Abstract
It Is known that a ring R with Krull dimension is an order in an Artinian ring if R is K-homogeneous and the prime radical N of R is weakly ideal invariant. The notion of weak ideal invariance can be interpreted in torsion theoretic terms, yielding a shorter and more conceptual proof of this result. In addition, it is shown that the orders in Artinian rings which arise in this fashion are precisely those for which R/N is K-homogeneous.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1981
References
- 1
- Cited by