




Volume 33 • Number 3 • 2010 

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Weakly Stable Rings and Related Comparability
Huanyin Chen
Abstract.
Let A be a right Rmodule having the nite exchange property, and let A = ⊕_{i∈I} A_{i}. Suppose that each A_{i} is fully invariant, equal to a direct sum of isomorphic indecomposable submodules. Then End_{R}(A) satisfies related comparability. As an application, we prove that the regular endomorphism ring of every reduced torsion abelian group satises related comparability.
2010 Mathematics Subject Classification: 16E50, 19U99.
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