Main subject categories: • Ring Theory • Finitely Generated Modules • Simple Modules • Noetherian and Artinian Modules • Construction of Rings • Basic Structure Theory • Rings of Fractions and Embedding Theorems • Categorical Aspects of Module Theory • Homology and Cohomology • Rings with Polynomial Identities and Affine Algebras • Central Simple Algebras • Rings from Representation TheoryThis is an abridged edition of the author's previous two-volume work,Ring Theory, which concentrates on essential material for a general ring theory course while omitting much of the material intended for ring theory specialists.It has been praised by reviewers: "As a textbook for graduate students, Ring Theory joins the best… The experts will find several attractive and pleasant features in Ring Theory. The most noteworthy is the inclusion, usually in supplements and appendices, of many useful constructions which are hard to locate outside of the original sources… The audience of nonexperts, mathematicians whose speciality is not ring theory, will find Ring Theory ideally suited to their needs… They, as well as students, will be well served by the many examples of rings and the glossary of major results." ‒ Notices of the AMS