MA553: Introduction To Abstract Algebra

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Abstract Algebra

Some topics relevant to the course MA 553.

1. Group Theory
   1. Isomorphism Theorems
   2. Sylow Theorems
   3. Jordan-Holder
2. Ring Theory
   1. Isomorphism Theorems
   2. Unique Factorization Domains
   3. Principal Ideal Domains
   4. Euclidean Domains
   5. Polynomial Rings
3. Field Theory
   1. Field Extensions
   2. Algebraic Closures
   3. Roots Of Unity
4. Galois Theory

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