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Stacked submodules of torsion modules over discrete valuation domains

Published online by Cambridge University Press:  17 April 2009

Pudji Astuti  and
Harald K. Wimmer
Pudji Astuti
Affiliation:
Departemen Matematika, Institut Teknologi Bandung, Bandung 40132, Indonesia, e-mail: pudji@dns.math.itb.ac.id
Harald K. Wimmer
Affiliation:
Mathematisches Institut, Universität Würzburg, D-97074 Würzburg, Germany, e-mail: wimmer@mathematik.uni-wuerzburg.de
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Abstract

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A submodule W of a torsion module M over a discrete valuation domain is called stacked in M if there exists a basis ℬ of M such that multiples of elements of ℬ form a basis of W. We characterise those submodules which are stacked in a pure submodule of M.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 68 , Issue 3 , December 2003 , pp. 439 - 447
Copyright
Copyright © Australian Mathematical Society 2003

References

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