materials

• lecture notes (week 7 material begins on p. 60)

• remember that midterm 1 is Wednesday Oct 22. I’ll post review material later this week.

• the next homework set will be collected 2025-10-29. I plan to post the set early next week.

topics

This week (and next Monday), we’ll talk about the following:

• rank of a free \(R\)-module
• PIDs and Euclidean domains
• poly ring over a field is a PID
• the Chinese remainder theorem