Ebook: Ring theory

The first five chapters of this book give an introduction to the theory of rings (the Jacobson density theorem, semisimple artinian rings, completely reducible modules, and representation theory). Chapters VI-XI are devoted to various aspects of the theory of associative rings with radical different from zero, and the last chapter (Chapter XII) deals with rings of continuous functions, culminating with the theorems of Arens-Kaplansky and of Stone.