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Decompositions of modules over a discrete valuation ring

Part of: Local rings and semilocal rings Theory of modules and ideals

Published online by Cambridge University Press:  09 April 2009

Robert O. Stanton
Robert O. Stanton
Affiliation:
Department of Mathematics and Computer ScienceSt John's University Jamaica, N.Y. 11439, USA
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Abstract

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Let N be a direct summand of a module which is a direct sum of modules of torsion-free rank one over a discrete valuation ring. Then there is a torsion module T such that N⊕T is also a direct sum of modules of torsion-free rank one.

MSC classification

Secondary: 13C05: Structure, classification theorems 13H99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 27 , Issue 3 , May 1979 , pp. 284 - 288
Copyright
Copyright © Australian Mathematical Society 1979

References

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