(Hacettepe Üniversitesi, 2010) Büyükaşık, Engin; Pusat, Dilek; Büyükaşık, Engin; Pusat, Dilek; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
We study modules whose maximal submodules are supplements (direct summands). For a locally projective module, we prove that every maximal submodule is a direct summand if and only if it is semisimple and projective. We give a complete characterization of the modules whose maximal submodules are supplements over Dedekind domains.