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Revision as of 12:46, 18 February 2009

Note: This page covers MA553 in general. If you wish to create a course page, for the Course List, please see Help:Contents.


Linear Equations and Linear Transformations

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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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett