Preliminaries on torsion theory; the Jacobson radical, simple modules and chain conditions relative to torsion theory. Nakayama's lemma; composition series relative to torsion theory, the generalized Hopkins-Levitzki theorem; injective and projective concepts and torsion theory, the generalized Baer and Fuchs conditions, relatively flat modules; covers and hulls; classical properties of rings relative to a Torsion theory.