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Countably thick modules

Ali Abdel-Mohsen; Mohammad Saleh — 2005

Archivum Mathematicum

The purpose of this paper is to further the study of countably thick modules via weak injectivity. Among others, for some classes $ℳ$ of modules in $σ [M]$ we study when direct sums of modules from $ℳ$ satisfies a property $ℙ$ in $σ [M]$ . In particular, we get characterization of locally countably thick modules, a generalization of locally q.f.d. modules.

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