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On $μ$ -singular and $μ$ -extending modules

Yahya Talebi; Ali Reza Moniri Hamzekolaee — 2012

Archivum Mathematicum

Let $M$ be a module and $μ$ be a class of modules in $Mod - R$ which is closed under isomorphisms and submodules. As a generalization of essential submodules Özcan in [8] defines a $μ$ -essential submodule provided it has a non-zero intersection with any non-zero submodule in $μ$ . We define and investigate $μ$ -singular modules. We also introduce $μ$ -extending and weakly $μ$ -extending modules and mainly study weakly $μ$ -extending modules. We give some characterizations of $μ$ -co-H-rings by weakly $μ$ -extending modules. Let $R$ ...

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On μ -singular and μ -extending modules

On $μ$ -singular and $μ$ -extending modules