Algebra II

Boston College, Spring 2018

The aim of this course is to provide some of the basic tools needed for graduate algebra. In particular, we will review Galois theory (including relevant results from theory of finite groups and field extensions) as well as the theory of Dedekind domains, with a view towards number fields.

Prerequisites

The course is intended for the first year graduate students; Interested undergraduate students are also welcome.
I will assume knowledge of a basic courses in linear algebra, and undergraduate algebra.

Bibliography

I will not follow one specific textbook, though all the material I will cover (and much more) can be found it
  • Jacobson , Basic Algebra I and II.
  • and
  • Dummit and Foote, Abstract Algebra
  • you can also find the Course Syllabus in PDF here.

    Schedule

    MWF 10-10:50
    Room:Maloney 560

    Homework

    There will be periodic homework assignments posted here.

    1. Assignment 1 , due date: Mon Jan. 29, 2018
    2. Assignment 2 , due date: Mon Feb. 12, 2018
    3. Assignment 3 , due date: Mon Feb. 26, 2018
    4. Assignment 4 , due date: Wed Mar. 14, 2018
    5. Assignment 5 , due date: Mon Mar. 26, 2018
    6. Assignment 6 , due date: Wed Apr. 18, 2018
    7. Assignment 7 , due date: Wed May. 02, 2018

    Contact me at: dubi.kelmer@bc.edu, Office : Maloney Hall 526, tel: (617) 552-1011

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