Presents the research developments in topological rings. This book includes exercises that illustrate results and theorems and also gives a comprehensive bibliography. It is aimed at those readers acquainted with some very basic point-set topology and algebra, in semester courses at the beginning graduate level or at advanced undergraduate level.

This text brings the reader to the frontiers of current research in topological rings. The exercises illustrate many results and theorems while a comprehensive bibliography is also included.

The book is aimed at those readers acquainted with some very basic point-set topology and algebra, as normally presented in semester courses at the beginning graduate level or even at the advanced undergraduate level. Familiarity with Hausdorff, metric, compact and locally compact spaces and basic properties of continuous functions, also with groups, rings, fields, vector spaces and modules, and with Zorn's Lemma, is also expected.