Weakly Stable Rings and Related Comparability

Let A be a right R-module having the finite exchange property, and let A = oplus i in 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 satisfies related comparability.