Reading: Class notes. Eisenbud: Sections 7.2 (from Theorem 7.3), 7.4 (Theorem 7.7), and 7.6 (through Corollary 7.17; proof of Cohen's structure theorem 7.7 modulo the existence of coefficient field; the proofs of Corollary 7.17 and Hensels' lemma (Theorem 7.3)), A3.2 (through Proposition A3.1), A3.3-A3.4, and Exercise A3.10 (read the statement).
Exercises: Eisenbud: A3.6, A3.13, A3.14. [Even though the last two problems are from Section A3.8, you do not need to know anything from Sections A3.5-A3.8, except Exercise A3.10, to do them.]
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