Topics in Abstract Algebra -  MATH 412

Class Meeting: Monday 10:00-12:00

1. University Course Catalog Description

Rings, integral domains, fields, ideals, quotient rings, prime and maximal ideals. Divisibility theory, unique factorization domains, Euclidean domains. Polynomial rings, finite fields
2. Course Overview
The course aims to provide students with the specialist knowledge necessary for basic concepts in abstract algebra.

3. Course Objectives

By the end of the course, students will be able to

    - Learn basic concepts about  rings  and fields

    - Study Ideals and Integral domains

    - Study examples of finite fields

    - Study Isomorphism theorems for rings
4. Required Texts and Materials

  Joseph A. Gallian, Contemporary Abstract Algebra, University of Minnesota Duluth, Brooks\Cole, 8th edition, 
  2013. (2nd part of the book)

    Supplementary reference:

       - B.A. Sethuraman , Rings, Fields & Vector Spaces, Springer, 1st edition, 1996

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