MODULES WHOSE MAXIMAL SUBMODULES ARE SUPPLEMENTS

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, 2000 AMS Classification: 13 C 05,

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