Modern Higher Algebra

Abraham Adrian Albert (1905?72) was an American mathematician primarily known for his groundbreaking work on algebra. In this book, which was originally published in 1938, Albert provides a detailed exposition of 'modern abstract algebra', taking into account numerous discoveries in the field during the preceding ten years. A glossary is included. This is a highly informative book that will be of value to anyone with an interest in the development of algebra and the history of mathematics.

Preface; 1. Groups and rings; 2. Rings with a unity element; 3. Matrices; 4. Similarity of square matrices; 5. Symmetric and skew matrices; 6. Finite groups; 7. Fields over F; 8. The Galois theory; 9. Cyclic fields; 10. Algebras of matrices; 11. Introduction to the transcendental theory of fields; 12. Valuation functions; Glossary; Index.