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ABSTRACT

A module M_R is called a QT AG-module if every finitely generated sub-module of any homomorphic image of M is a direct sum of uniserial modules.  Let M be a P-primary QT AG-module over a commutative ring R.  It is proved that there exists a local principal ideal ring S such that M becomes on S-module with the property that lattices LR(M) and L_s(M) of R-submodules and S-submodules of M are the same; further M becomes a QT AG-module over S.