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Modules with Unique Closure Relative to a Torsion Theory

Published online by Cambridge University Press:  20 November 2018

S. Doğruöz ,
A. Harmanci  and
P. F. Smith
S. Doğruöz
Affiliation:
Adnan Menderes University, Department of Mathematics, Science and Art Faculty, Aydin, Türkiye e-mail: sdogruoz@adu.edu.tr
A. Harmanci
Affiliation:
Hacettepe University, Department of Mathematics, Ankara, Türkiye e-mail: harmanci@hacettepe.edu.tr
P. F. Smith
Affiliation:
University of Glasgow, Department of Mathematics, Glasgow G12 8QW Scotland, UK e-mail: pfs@maths.gla.ac.uk
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Abstract

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We consider when a single submodule and also when every submodule of a module $M$ over a general ring $R$ has a unique closure with respect to a hereditary torsion theory on Mod-$R$.

Keywords

16S90closed submoduleUC-moduletorsion theory
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 2 , 01 June 2010 , pp. 230 - 238
Copyright
Copyright © Canadian Mathematical Society 2010

References

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