MATH 502

Fall 2007 Part of Term 1

Part of Term 1
Aug 22-Dec 7

Commutative Algebra

Credit: 4 hours.

Commutative rings and modules, prime ideals, localization, noetherian rings, primary decomposition, integral extensions and Noether normalization, the Nullstellensatz, dimension, flatness, Hensel's lemma, graded rings, Hilbert polynomial, valuations, regular rings, singularities, unique factorization, homological dimension, depth, completion. Possible further topics: smooth and etale extensions, ramification, Cohen-Macaulay modules, complete intersections.

Prerequisite: MATH 501 or consent of instructor.

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MATH 502 class schedule data for fall 2007
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	30817	Lecture-Discussion	N1	10:30AM -11:50AM	TR	Altgeld Hall	Fossum, R	Part of Term: 1 Date Range: 08/22/07-12/07/07 Restriction(s): Restricted to Graduate - Urbana-Champaign.