It is an interesting fact that a commutative ring $R$ is noetherian if and only if direct sums of injective $R$-modules are injective, and if and only if every injective $R$-module is a direct sum of indecomposable injective $R$-modules. In his book _Lectures on modules and rings_ (Theorems 3.46 and 3.48), T.Y.Lam attributes the first one to Bass and Papp and the second one to Matlis and Papp. However, checking out the sources (unfortunately without access to the Papp article) reveals that the history might be more complicated; also the name of Eilenberg pops up somewhere. Hence:

> Who was the first to prove these statements, and where were they published for the first time?