Exercises in modules and rings / T. Y. Lam

This is the Springer International Edition

Includes bibliographical references and indexes.

Notes to the Reader -- Partial List of Notations -- Partial List of Abbreviations -- Free Modules, Projective, and Injective Modules -- Free Modules -- Projective Modules -- Injective Modules -- Flat Modules and Homological Dimensions -- Flat Modules -- Homological Dimensions -- More Theory of Modules -- Uniform Dimensions, Complements, and CS Modules -- Singular Submodules and Nonsingular Rings -- Dense Submodules and Rational Hulls -- Rings of Quotients -- Noncommutative Localization -- Classical Ring of Quotients -- Right Goldie Rings and Goldie's Theorem.

This volume offers a compendium of exercises of varying degree of difficulty in the theory of modules and rings. All exercises are solved in full detail. Each section begins with an introduction giving the general background and the theoretical basis for the problems that follow.