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A characterization of noetherian rings by cyclic modules

Published online by Cambridge University Press:  20 January 2009

Dinh Van Huynh
Dinh Van Huynh
Affiliation:
Institute of Mathematics P.O. Box 631 Boho Hanoi, Vietnam
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Abstract

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It is shown that a ring R is right noetherian if and only if every cyclic right R-module is injective or a direct sum of a projective module and a noetherian module.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 2 , June 1996 , pp. 253 - 262
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

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