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Subsocles and direct sum of uniserial modules

Subsocles and direct sum of uniserial modules

Suppose M is a QTAG-module with a subsocle S such that M/S is a direct sum of uniserial modules. Our global aim here is to investigate an interesting connection between the structure of M/S and the QTAG-module M. Specifically, the condition S=Soc(N) for some h-pure submodules N of M allows …