ABSTRACT
In his recent work, Citation[1] and Citation[2], on the pure semisimplicity conjecture Simson raised two problems about the structure of the direct sum decomposition of the direct product modulo the direct sum of indecomposable preinjective modules over right pure semisimple hereditary rings. The main goal of this paper is the proof of a theorem that resolves one of these problems and provides a partial answer to the other.
ACKNOWLEDGMENT
Thanks are due to Professor Daniel Simson for sending us preprints, reprints, and comments on the pure semisimplicity conjecture.