Preface.- Modules with Chain Conditions.- Ranks of Groups.- Generalized Nilpotent Groups.- Artinian Modules.- Reduction to Subgroups of Finite Index.- Modules over Dedekind Domains.- Kovacs-Newman Theorem.- Hartley Classes.- Injectivity of Some Simple Modules.- Direct Decompositions.- Countability over FC-hypercentral Groups.- Artinian Modules over Periodic Abelian Groups and over Abelian Groups of Finite Section Rank.- Nearly Injective Modules.- Injective Envelopes.- Quasifinite Modules.- Applications.- Bibliography.- Index.