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Keywords:
tight; weakly tight; weakly injective; countably thick; locally q.f.d.; weakly semisimple
tight; weakly tight; weakly injective; countably thick; locally q.f.d.; weakly semisimple
Summary:
The purpose of this paper is to further the study of countably thick modules via weak injectivity. Among others, for some classes ${\mathcal M}$ of modules in $ \sigma [M]$ we study when direct sums of modules from ${\mathcal M}$ satisfies a property $\mathbb P$ in $\sigma [M]$. In particular, we get characterization of locally countably thick modules, a generalization of locally q.f.d. modules.
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