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Important ring theoretic concepts have been extended to modules by a number of algebraists. The resultant interplay of ring theory and module theory has often enriched both. This book has five chapters. First chapter has preliminary definitions, notations and results. Second chapter is devoted to the study of regular rings, anti-regular rings, V-rings and corresponding classes of modules. Third chapter comprises of detailed study of reduced rings, abelian rings, Semi-commutative rings, reversible rings and Armendariz rings. Fourth and last chapter is the module theoretic ideas and some new problems related to all classes of rings and modules which are included in previous chapters.