A right 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. Mehdi and Naji introduced the notion of transitivity for QTAG-modules. Motivated by the transitivity and full transitivity we study full transitive pairs of QTAG-modules and obtain several characterizations. Here we examine how the formation of direct sums of QTAG-modules affects tran- sitivity and full transitivity. We extend this concept by defining Ulm supports of QTAG-modules and consequently derive more results about the interrelationships of the various transitivities.