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On the additive groups of subdirectly irreducible rings
Published online by Cambridge University Press: 17 April 2009
Abstract
In this paper we study the additive group structure of subdirectly irreducible rings and their hearts. We give and example of a torsion-free, non-reduced abelian group which is not the underlying additive group of any associative subdirectly irreducible ring. It is a counterexample to a theorem in Feigelstock's book “Additive Groups of Rings.”
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 34 , Issue 2 , October 1986 , pp. 275 - 281
- Copyright
- Copyright © Australian Mathematical Society 1986
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