Draft Lecture notes for course 311 (Abstract algebra), taught at Trinity College, Dublin, in the academic year 2007-08, are available here.
The course consists of four sections:-
- Part 1: Topics in Group Theory
- [PDF];
- Part 2: Rings and Polynomials
- [PDF];
- Part 3: Introduction to Galois Theory
- [PDF];
- Part 4: Commutative Algebra and Algebraic Geometry
- [PDF];
The following problem sets were issued in the academic year 2007-8:---
Lecture notes for course 311 (Abstract algebra), as it was taught at Trinity College, Dublin, in the academic year 2005-06, are available here.
The course consists of four parts:-
- Part I: Topics in Number Theory
- [PDF],
- Part II: Topics in Group Theory
- [PDF],
- Part III: Topics in Commutative Algebra
- [PDF],
- Part IV: Introduction to Galois Theory
- [PDF],
The following material was non-examinable, but supplemented the examinable portions of the course:-
- Part V: Hilbert's Nullstellensatz
- [PDF],
- Part VI: Introduction to Affine Schemes
- [PDF],
The following problem sets were issued in the academic year 2005-06:---
- Number Theory Problems
- [PDF],
- Group Theory Problems
- [PDF],
- Commutative Algebra Problems
- [PDF],
- Galois Theory Problems
- [PDF],
The author, Dr. David Wilkins, <dwilkins@maths.tcd.ie> would very much appreciate being notified of any errors (typographical or others) that you may find in these notes.
Lecture notes for undergraduate courses
Dr. David R. Wilkins