Title of article :
MODULES WHOSE MAXIMAL SUBMODULES ARE SUPPLEMENTS
Author/Authors :
Buyukasik, Engin Izmir Institute of Technology - Department of Mathematics, Turkey , Pusat-Yılmaz, Dilek Izmir Institute of Technology - Department of Mathematics, Turkey
Abstract :
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.
Keywords :
Locally projective module , Supplement submodule
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
