MODULES WHOSE MAXIMAL SUBMODULES ARE SUPPLEMENTS

Year 2010, Volume: 39 Issue: 4, 477 - 487, 01.04.2010

Engin Büyükasik  dilek Pusat-yilmaz

https://izlik.org/JA36TX22JM

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 , 2000 AMS Classification: 13 C 05

MODULES WHOSE MAXIMAL SUBMODULES ARE SUPPLEMENTS

https://izlik.org/JA36TX22JM

Abstract

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