Volume 33 • Number 3 • 2010   • Weakly Stable Rings and Related Comparability Huanyin Chen Abstract. Let A be a right R-module having the nite exchange property, and let A = ⊕i∈I Ai. Suppose that each Ai is fully invariant, equal to a direct sum of isomorphic indecomposable submodules. Then EndR(A) satisfies related comparability. As an application, we prove that the regular endomorphism ring of every reduced torsion abelian group satises related comparability. 2010 Mathematics Subject Classification: 16E50, 19U99. Full text: PDF