Abstract Algebra
Mathematics 552 — Spring 2025

Prof. Weibel

Math 552 is the second semester of the standard introductory graduate algebra course. A significant portion of the course is devoted to the theory of field extensions, including Galois theory, rings of polynomials, Nullstellensatz, intro to homological algebra, structure of Artin rings. Additional topics are chosen in part based on the interests of the students.

Notices and assignments will appear on this page.

  • Instructor: Charles Weibel Office Hours: MTF 1:40-3:00 in H218
  • Text: Algebra, by Thomas Hungerford, Graduate Texts in Mathematics, Springer
  • Lectures: TF2 (10:20 to 11:40 AM) in Hill 525.


    Homework Assignments

    (assigned weekly, due on Canvas by 11PM Friday)


    DueAssigned Problems
    1/31 V.1 #9, 13a, 19,21(a,c);   V.2 #2,4,15
    2/7 V.2 #7,12;   V.3 #5,9,13,19,20
    2/14 V.4 #2,5,10(a,d),12   V.5 #3,6,11
    2/21 V.6 #8,11;   V.7 #3,5,10;   V.9 #1,4
    2/25 midterm on Galois theory
    3/7 VIII.1 #1,3,4,7   VIII.2 #7,13   VIII.3 #3,8
    3/14 VIII.4 #1,2,3,8   VIII.5 #1,3,8
    3/21 Spring Break
    3/28 IV.3 #2,4,5,7,8,10,11
    4/4 IV.4 #3,11; IV.5 #2(a,b),8(c),9,11(i); X.2 #2
    4/8 midterm on commutative rings, modules, and homological algebra
    4/11Group representations supplement,
    4/18Group representations supplement,
    4/25Group representations supplement
    5/2 midterm on group representations (Classes end)

    Last modified 2/1/25

    Charles Weibel / Spring 2025