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Simple rings with injectivity conditions on one-sided ideals
Published online by Cambridge University Press: 17 April 2009
Extract
This paper looks at simple rings which have right ideals satisfying various types of injectivity conditions. We characterise when a simple regular ring is right self-injective and show that if R is a simple ring in which every right ideal is the direct sum of quasi-continuous right ideals then R is either Artinian or a non-selfinjective right Goldie ring in which every right ideal is a direct sum of uniform right ideals.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 76 , Issue 2 , October 2007 , pp. 315 - 320
- Copyright
- Copyright © Australian Mathematical Society 2007
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