Published January 1, 2010 | Version v1
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MODULES WHOSE MAXIMAL SUBMODULES ARE SUPPLEMENTS

  • 1. Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey

Description

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.

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