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It is our great pleasure to bring out the new edition of Advanced Abstract Algebra. In this edition a considerable amount of new material has been add .... Read More
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It is our great pleasure to bring out the new edition of Advanced Abstract Algebra. In this edition a considerable amount of new material has been added. The new material consists mainly a topic concerned with Small Order Groups which plays a key role for those students who are preparing for competitive exams.
| Sr | Chapter Name | No Of Page |
|---|---|---|
| 1 | Chapter 1. Logics and Set Theory | 11 |
| 2 | Chapter 2. Relations and Functions | 19 |
| 3 | Chapter 3. Matrices and Rank | 18 |
| 4 | Chapter 4. Groups | 60 |
| 5 | Chapter 5. Normal Subgroups | 22 |
| 6 | Chapter 6. Automorphism and Structure of Groups | 27 |
| 7 | Chapter 7. Normal Series | 11 |
| 8 | Chapter 8. Nilpotent and Solvable Groups | 9 |
| 9 | Chapter 9. Rings | 59 |
| 10 | Chapter 10. Primary Decomposition of Ideals | 5 |
| 11 | Chapter 11. Unique Factorization Domain and Euclidean Domains | 17 |
| 12 | Chapter 12. Noetherian Ring | 12 |
| 13 | Chapter 13. Rings of Fraction with Ore Condition | 13 |
| 14 | Chapter 14. Vector Spaces | 41 |
| 15 | Chapter 15. Modules | 21 |
| 16 | Chapter 16. Linear Transformations | 32 |
| 17 | Chapter 17. Linear Functionals | 14 |
| 18 | Chapter 18. Eigenvalues and Eigenvectors, Diagonalization | 17 |
| 19 | Chapter 19. Canonical Forms | 26 |
| 20 | Chapter 20. Algebraic Extensions of a Field | 23 |
| 21 | Chapter 21. Normal and Separable Extensions of Fields | 21 |
| 22 | Chapter 22. Galois Theory | 25 |
| 23 | Chapter 23. Application of Galois Theory | 23 |
| 24 | Chapter 24. Noetherian and Artinial Modules and Rings | 7 |
| 25 | Chapter 25. Smith Normal form Over a PID and Rank | 6 |
| 26 | Chapter 26. Finitely Generated Modules Over a PID | 5 |
| 27 | Chapter 27. Groups of Small Orders | 5 |