Switching ring and star operator theory

Author: Wang Fanggui
Publisher:
Publish Date: 2006-05-01
Features: This book systematically introduces moduli categories on exchange rings, the ideal theory of classical Noetherian rings, homological methods for coherent rings, theory of integral extensions, dimension theory, and the star operator theory on integral domains, which has attracted much attention from scholars in recent years. Additionally, it covers the Bass-Quillen problem and methods on exchange rings with global dimension 2. Throughout the book, the role of localization methods and W-operators is emphasized, while the external power methods of exchange rings and the role of Fitting ideals are also comprehensively introduced. The book leaves many examples without proof as exercises, which will help readers understand and connect relevant concepts, as well as grasp the theory and methods of exchange rings. This book is suitable for undergraduate and graduate students, as well as teachers in mathematics and computer science departments.