On QTAG-modules containing proper h-purity
Keywords:QTAG-modules, σ-pure submodules, λ-pure submodules
There are numerous problems of determining the QTAG-modules in which every h-pure submodule is isotype or the QTAG-modules in which every submodule is isotype. Our global aim here is to find in this direction a new problem by generalizing the h-purity in QTAG-modules, and thereby to establish some characterizations of the QTAG-modules in which every σ-pure submodule is λ-pure submodule for arbitrary ordinals σ and λ.
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