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On rings whose modules of finite length are all cyclic
Published online by Cambridge University Press: 17 April 2009
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We give some characterisations of rings R whose modules with composition series are all cyclic. In particular, we prove that all left R-modules of finite length are cyclic if and only if R has no nonzero Artinian factor rings.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 69 , Issue 1 , February 2004 , pp. 137 - 140
- Copyright
- Copyright © Australian Mathematical Society 2004
References
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