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On rings whose modules of finite length are all cyclic

Published online by Cambridge University Press:  17 April 2009

Yasuyuki Hirano
Yasuyuki Hirano
Affiliation:
Department of Mathematics, Okayama University, Okayama 700-8530, Japan, e-mail: yhirano@math.okayama-u.ac.jp
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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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