MATH 323: Rings and Modules
The University of British Columbia
Winter 2015 Term 2
Miljan Brakočević
Last Two Weeks Reading Assignment
List of topics to be updated on April 7, 2016 after the last class.
Reading Part (mandatory):
Please read the following in Dummit & Foote (3rd ed):
• The 2nd, 3rd, and 4th Isomorphism Theorems: Theorem 4 in Section 10.2, page
349.
• Universal Property of Free Modules: Theorem 6 in Section 10.3, pages 354-355.
• The Chinese Remainder Theorem for Modules: Brief course notes available at
http://www.math.ubc.ca/~miljan/math323/notes/week13part1.pdf
• Proof of The Elementary Divisors Theorem: Theorem 4 in Section 12.1, pages
460-462.
• Applications of The Structure Theorem to F[x]-modules (The Rational Canonical Form
and The Jordan Canonical Form): Brief course notes available at
http://www.math.ubc.ca/~miljan/math323/notes/week13part5.pdf
1