Section outline
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Principal ideal domains.
Unique factorizaiton domains.
Dummit & Foote sections Dummit & Foote sections 8.2- 8.3, 9.2-9.4
Recommended exercises: The ones of section 9.4 are the most important!
Section 8.2 1, 2, 3, 8
Section 8.3 1, 5, 6, 7, 8
Section 9.2 1, 2, 3, 4, 5 Exercise 1, 2, and 3 wil be partially covered during the lectures next week, but it would be great if you can try to look at them so that the lecture will go more smoothly :)
Section 9.4: 1, 2. Attention, you will need to show that a given polynomial is irreducible to solve part of exam exercises.