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The decomposition of artinian modules over hyper-(cyclic or finite) groups

Published online by Cambridge University Press:  20 January 2009

Y. B. Qin
Y. B. Qin
Affiliation:
Department of Applying MathematicsSouthwest China Communication UniversityChengdu 610031P. R., China
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Abstract

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If G is a hyperfinite locally soluble group and A an artinian ZG-module then Zaĭcev proved that A has an f-decomposition. For G being a hyper-(cyclic or finite) locally soluble group, Z. Y. Duan has shown that any periodic artinian ZG-module A has an f-decomposition. Here we prove that: if G is a hyper-(cyclic or finite) group, then any artinian ZG-module A has an f-decomposition.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 1 , February 1996 , pp. 115 - 118
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

REFERENCES

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