The “Handbook of Algebra” is a comprehensive textbook written by M Hazwinkel that provides students with a deep understanding of algebraic concepts and theories. This book is widely used by students and teachers alike, due to its clear explanations, numerous examples, and well-structured format.
The handbook covers all the essential topics in algebra, including equations, polynomials, algebraic structures, and more advanced concepts such as Galois theory and algebraic geometry. Hazwinkel’s writing style is clear and concise, making it easy for students to grasp the material and apply it to real-world problems.
In addition to its well-written explanations, the “Handbook of Algebra” also features a large number of exercises and problems that test the student’s understanding of the material. This makes it an ideal resource for both self-study and classroom use.
TABLE OF CONTENTS
Kneser and co-Galois extensions
- G-Radical and G-Kneser extensions
- Co-Galois extensions
Strongly Kneser and G-co-Galois extensions
- Galois and co-Galois connections
- Strongly G-Kneser extensions
- G-co-Galois extensions
- The Kneser group of a G-co-Galois extension
- Primitive elements for G-co-Galois extensions
- Almost G-co-Galois extensions
Galois G-co-Galois extensions
- G-Radical Galois extensions
- Galois extensions and crossed homomorphisms
- Abelian G-co-Galois extensions
- Kummer theory via co-Galois theory
Applications to elementary field arithmetic and algebraic number theory
- When is a biquadratic extension Galois, radical, or co-Galois?
- Some examples in co-Galois theory with applications to elementary field arithmetic
- Some classical results on algebraic number fields via co-Galois theory
- Applications to Hecke systems of ideal numbers
Connections with graded algebras and Hopf algebras
- Kneser and G-co-Galois extensions via strongly graded algebras
- Kneser and co-Galois extensions via Hopf algebras
Abstract co-Galois theory
- Kneser groups of cocycles
- Co-Galois groups of cocycles
- Kummer groups of cocycles
- Field theoretic co-Galois theory via abstract co-Galois theory
We are happy to announce that this valuable textbook is available in PDF format for students to download and study from. This is especially useful for students who are looking for a convenient and accessible way to study algebra, as well as for teachers who want to make sure their students have access to the material they need.
In conclusion, the “Handbook of Algebra” is a must-have resource for anyone looking to deepen their understanding of algebra. With its clear explanations, numerous examples, and well-structured format, students will find this book an invaluable tool in their journey to mastering algebra. So, if you’re looking to further your understanding of this fascinating subject, be sure to download the PDF version of the “Handbook of Algebra” today.
