Published 2009-02-26
Keywords
- \(QTAG\)-Modules,
- semi \(h\)-pure modules,
- \(h\)-pure hull
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Abstract
A module M over an associative ring with unity is a \(QTAG\)-module if every finitely generated submodule of any homomorphic image of \(M\) is a direct sum of uniserial modules. There are many fascinating concepts related to these modules of which\(h\)-pure submodules and \(N\)-high submodules are very significant.
Here we characterize h-pure hulls of \(QTAG\)-module in terms of \(N\)-high submodules of M. We also characterize submodules of \(QTAG\)-modules which are the intersections of finitely many \(h\)-pure submodules.
