Torsion Theories

This volume provides a comprehensive and up-to-date survey of research on torsion theories defined on module categories over noncommutative rings and their use in the localization of rings and modules. The text places special emphasis on the results of the last ten years. Among the topics covered are: the structures on modules defined relative to a fixed torsion theory, the several endofunctors of the category of modules defined by a torsion theory, the structure of the frame of all torsion theories over a given module category and its use in characterizing rings, behavior of various torsion theories of special types, decompositions and dimensions of modules defined by torsion theories, and local cohomology relative to a torsion theory.