Abstract
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.
Publisher
Cambridge University Press (CUP)
Reference3 articles.
1. The decomposition of minimax modules over hyperfinite groups
2. 1. Duan Z. Y. , Noetherian modules over hyperflnite groups, (Ph.D thesis, University of Glasgow, 1991).
3. Splitting of extensions of abelian groups;Zaitzev;Akad. Nauk Ukrain. SSR, Inst. Mat. Kiev,1986
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献