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Torsion-free pre-images of modules of finite length

Published online by Cambridge University Press:  20 January 2009

L. O'Carroll
L. O'Carroll
Affiliation:
Department of MathematicsUniversity of EdinburghJames Clerk Maxwell BuildingMayfield RoadEdinburgh EH9 3JZ
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The purpose of this note is to provide a simplified proof of the following result due to Crawley-Boevey, Kropholler and Linnell.

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 31 , Issue 3 , October 1988 , pp. 397 - 399
Copyright
Copyright © Edinburgh Mathematical Society 1988

References

REFERENCES

1.Crawley-Boevey, W. W., Kropholler, P. H. and Linnell, P. A., Torsion-free soluble groups, completions and the zero-divisor conjecture, J. Pure Appl. Algebra, to appear.Google Scholar
2.Matsumura, H., Commutative Algebra (2nd ed.) (Benjamin/Cummings, Reading, Massachusetts, 1980).Google Scholar
3.Nagata, M., Local Rings (Interscience Publishers, New York and London, 1962).Google Scholar
4.Zariski, O. and Samuel, P., Commutative Algebra Vol. II (Springer-Verlag, New York, 1960).CrossRefGoogle Scholar