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The decomposition of artinian modules over hyper-(cyclic or finite) groups
Published online by Cambridge University Press: 20 January 2009
Abstract
If G is a hyperfinite locally soluble group and A an artinian ZG-module then Zaĭcev proved that A has an f-decomposition. For G being a hyper-(cyclic or finite) locally soluble group, Z. Y. Duan has shown that any periodic artinian ZG-module A has an f-decomposition. Here we prove that: if G is a hyper-(cyclic or finite) group, then any artinian ZG-module A has an f-decomposition.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 1 , February 1996 , pp. 115 - 118
- Copyright
- Copyright © Edinburgh Mathematical Society 1996