On generalized closed QTAG-modules

Abstract

This paper explores the concept of closed modules by utilizing the notion of $h$-topology within the context of $QTAG$-modules. In addition, we delve into the intricate relationships between different types of submodules and $Ulm$ invariants, shedding light on their interconnected roles within the closures. This investigation aims to provide a deeper understanding of these algebraic structures and their dynamic interactions.