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Abstract. Warfield modules and simply presented modules are considered whose torsion submodule is a direct sum of cyclics. A correspondence between Warfield modules and completely decomposable groups is established by showing that such a mixed module G is Warfield if and only if is simply presented and is completely decomposable. We give an example to show that this result cannot be extended to ordinals . We also connect with the work of Nunke to characterize modules G whose zeroth Ulm factors are torsion in terms of simply presented and completely decomposable.