MODULES WHOSE MAXIMAL SUBMODULES ARE SUPPLEMENTS

Authors : Engin BÜYÜKASİK ,  dilek PUSATYİLMAZ

Pages : 477-487

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Publication Date : 2010-04-01

Article Type : Research Paper

Abstract :We study modules whose maximal submodules are supplements insert ignore into journalissuearticles values(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, 2000 AMS Classification 13 C 05