Department of Mathematics
Server

It has been pointed out to me by several people (most notably Dr. Pham Ngoc Anh of Alfred Renyi Mathematical Institute, Budapest), that there is a more direct route to the descriptions contained in my paper Explicit descriptions of the indecomposable injective modules over Jategaonkar's rings, Comm. Alg 30(12). 6023--6054, 2002.

The rings involved are hereditary rings, and so every factor module of an injective module is injective. Thus in particular, in the case of the domain being considered, every indecomposable injective appears as a direct summand of a factor module of the quotient skew field of the ring. This description allows one to avoid the tedious verification of distributivity in the published proofs. It does not, however, trivialize the problem since there still remain difficult computations to extract a decription of the desired indecomposable as a summand of this factor module.