# Basic Algebra

## Groups, Rings and Fields

• P. M. Cohn
Book

1. Front Matter
Pages i-xii
2. P. M. Cohn
Pages 1-23
3. P. M. Cohn
Pages 25-50
4. P. M. Cohn
Pages 51-78
5. P. M. Cohn
Pages 79-130
6. P. M. Cohn
Pages 131-163
7. P. M. Cohn
Pages 165-188
8. P. M. Cohn
Pages 189-248
9. P. M. Cohn
Pages 249-306
10. P. M. Cohn
Pages 307-345
11. P. M. Cohn
Pages 347-396
12. P. M. Cohn
Pages 397-447
13. Back Matter
Pages 449-465

### Introduction

Basic Algebra is the first volume of a new and revised edition of P.M. Cohn's classic three-volume text Algebra which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two self-contained, companion volumes, covering advanced topics in algebra for second- and third-year undergraduate and postgraduate research students.

In this first volume, the author covers the important results of algebra; the companion volume, Further Algebra and Applications, brings more advanced topics and focuses on the applications. Readers should have some knowledge of linear algebra and have met groups and fields before, although all the essential facts and definitions are recalled.

The coverage is comprehensive and includes topics such as:

- Groups

- lattices and categories

- rings, modules and algebras

- fields

The author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks.

### Keywords

Algebra Basic algebra Fields Groups Multilinear Algebra Rings Sets linear algebra

#### Authors and affiliations

• P. M. Cohn
• 1
1. 1.Department of MathematicsUniversity College LondonLondonUK

### Bibliographic information

• DOI https://doi.org/10.1007/978-0-85729-428-9
• Copyright Information Professor P.M. Cohn 2003
• Publisher Name Springer, London
• eBook Packages
• Print ISBN 978-1-4471-1060-6
• Online ISBN 978-0-85729-428-9