On QTAG-Modules Having All N-High Submodules h-Pure

Abstract

The paper is concerned with h-pure-N-high submodules of QTAG-modules. Here, we characterize the submodules N of an h-reduced QTAG-module for which all h-pure-N-high submodules are bounded. We also discuss some interesting properties of subsocles and consequently give a characterization of the direct sum of uniserial modules.