MATH 323 Rings and Modules.

MATH 323. Rings and Modules.

Text: Dummit and Foote, "Abstract Algebra".

Section 201, Instructor: Julia Gordon.

Where: BUCH A 202.
When: Tue, Th 9:30-11am.
My office: Math 217.
e-mail: gor at math dot ubc dot ca
Office Hours: Tuesdays 11am-noon, Fridays 10-11am, and by appointment.

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HOMEWORK

There will be weekly homework assignments, posted here every Monday, and due the following Tuesday.
  • Problem set 1 (due Tuesday January 10). Solutions.
  • Problem Set 2 (due Thursday Jan. 19). Solutions.
  • Problem Set 3 (due Thursday January 26). Solutions.
  • Problem Set 4 (due Thursday Feb. 2). Solutions.
  • Problem set 5 (due Thursday, February 9). Solutions . picture for Problem 4 (with thanks to Wikipedia for the picture). Picture for Problem 5 .
  • Problem Set 6 (due Thursday March 2).
  • Problem Set 7 (due Thursday March 9) Also recommended (but not to be written up): problems 2,5, 6,7 from 13.1, and problem 2 from 9.5 -- note that it refers to problem 6 from 9.4, so it makes sense to do these two together).
  • Problem Set 8 (due March 16).
  • Problem Set 9 (due March 23).
  • Propblem set 10 (Due Tuesday April 4 -- note the unusual day!)
    Just for fun (optional reading, not required to solve the problem) -- Problem 7 is related to an elementary Pick's Theorem .
    The last set of suggested problems -- you might want to look at them before the final exam (not to be handed in):
    • Secion 10.1, proplems 3, 12, and 15-19.
    • Section 12.2: 1,2,3,4,6,8,9,10,18.
    • Section 12.3: 1,2,4,5,9,12,17,19,20,22.

    Review materials for the midterm

  • The list of topics for the midterm . (I think the best way to use the list is look at the items with closed book, try to recall all the relevant definisions, facts, proofs, and examples, and if any of this is causing difficulty, then read the relevant section again).
  • midterm from 2013 . (Ignore the last problem, we have not yet covered Gauss' Lemma fully). Do not read the solutions, try the problems yourself! Use the solutions only to check your work. Solutions .
  • A pracice midterm . (Ignore the last problem) Solutions
  • Midterm from 2014 (Ignore Problem 9). Solutions .

  • Detailed Course outline

    Short descriptions of each lecture and relevant additional references will be posted here as we progress. All section numbers refer to Dummit and Foote.