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On some questions related to Koethe's nil ideal problem
Published online by Cambridge University Press: 13 February 2015
Abstract
We study properties of two-sided and one-sided ideals of A-rings, i.e. rings that are sums of their nil left ideals. We show that the question as to whether one-sided ideals of A-rings are again A-rings is equivalent to the famous Koethe problem. We also obtain some results on another related open problem that asks whether annihilators of elements of non-zero A-rings are non-zero.
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- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 59 , Issue 1 , February 2016 , pp. 57 - 64
- Copyright
- Copyright © Edinburgh Mathematical Society 2016