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
From page
477
To page
487
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
Record number
2600975
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