materials
lecture notes (week 6 material begins on p. 46)
problem set 6 due 2025-10-15
typst latex
topics
This week, we’ll talk about the following:
- conclusion of characterization of free modules via bases
- introduction of the notion of an algebra
- integral domains; prime and maximal ideals
- existence of maximal ideals and Zorn’s Lemma
- construction of monoid algebras and the polynomial ring