Topological rings /
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 normall...
Saved in:
Main Authors: | |
---|---|
Corporate Authors: | |
Published: |
North-Holland,
|
Publisher Address: | Amsterdam ; New York : |
Publication Dates: | 1993. |
Literature type: | eBook |
Language: | English |
Series: |
North-Holland mathematics studies ;
178 |
Subjects: | |
Online Access: |
http://www.sciencedirect.com/science/bookseries/03040208/178 |
Summary: |
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. |
Carrier Form: | 1 online resource (x, 498 pages). |
Bibliography: | Includes bibliographical references (pages 440-486) and indexes. |
ISBN: |
9780444894465 0444894462 9780080872896 0080872891 1281985074 9781281985071 |
Index Number: | QA251 |
CLC: | O153.3 |
Contents: | Front Cover; Topological Rings; Copyright Page; Preface; Contents; Chapter I. Topological Rings and Modules; Chapter II. Metrizability and Completeness; Chapter III. Local Boundedness; Chapter IV. Real Valuations; Chapter V. Complete Local Rings; Chapter VI. Primitive and Semisimple Rings; Chapter VII. Linear Compactness and Semisimplicity; Chapter VIII. Linear Compactness in Rings with Radical; Chapter IX. Complete Local Noetherian Rings; Chapter X. Locally Centrally Linearly Compact Rings; Chapter XI. Historical Notes; Bibliography; Errata; Index of Names; Index of Symbols and Definitions. |