David Wilkins: “Abstract Algebra”, School of Mathematics, Trinity College, Dublin, 2007/2008, 104p.
These are Lecture notes for course Abstract algebra, taught at Trinity College (Dublin) in the academic year 2007-08, material is presented in compact but rigorous form, almost all theorems are stated with proofs. All in all, enough material is included, as a basis for more advanced and detailed course in general algebra or for other courses (number theory, algebraic geometry, algebraic topology, discrete mathematics…).
Contents (chapters):
1Topics in Group Theory
2 Rings and Polynomials
3 Introduction to Galois Theory
4 Commutative Algebra and Algebraic Geometry
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