- Hacettepe Journal of Mathematics and Statistics
- Vol: 39 Issue: 4
- MODULES WHOSE MAXIMAL SUBMODULES ARE SUPPLEMENTS
MODULES WHOSE MAXIMAL SUBMODULES ARE SUPPLEMENTS
Authors : Engin Büyükasik , dilek Pusat-yilmaz
Pages : 477-487
View : 14 | Download : 10
Publication Date : 2010-04-01
Article Type : Research
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 domainsKeywords : Locally projective module, Supplement submodule, 2000 AMS Classification: 13 C 05