Abstract:A module is called uniserial if it has totally ordered submodules in inclusion. We describe direct summands of $U^{(I)}$ for a uniserial module $U$. It appears that any such a summand is isomorphic to a direct sum of copies of at most two uniserial modules.
Keywords: serial modules, direct sum decomposition
AMS Subject Classification: 16D70, 16D70, 16D70