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The f-decomposition of Artinian modules over hyperfinite groups

Published online by Cambridge University Press:  20 January 2009

Z. Y. Duan
Z. Y. Duan
Affiliation:
Department of MathematicsSouthwest Teachers UniversityChongqing, 630715 P.R., China
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Abstract

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A ℤG-module A is said to have an f-decomposition if in which A∫ is a ℤG-submodule of A such that each irreducible ℤG-factor of A∫ as an abelian group is finite and the ℤG-submodule A∫ has no finite irreducible ℤG-factors. In this paper, we prove that: if G is a hyperfinite group then any artinian ℤG-module A has an f-decomposition, which gives a positive answer to the question raised by D.I. Zaitzev in 1986.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 38 , Issue 1 , February 1995 , pp. 117 - 120
Copyright
Copyright © Edinburgh Mathematical Society 1995

References

REFERENCES

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