Generalizations of coatomic modules

M. Koşan; Abdullah Harmanci

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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....

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