MATH 502

Fall 2013 All Classes

All Classes

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 2013
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	30817	Lecture-Discussion	P1	11:00AM -12:20PM	TR	149 Henry Administration Bldg	Schenck, H	Part of Term: 1 Date Range: 08/26/13-12/11/13 Section Info: Undergraduate students may register with approval. For more information go to room 313 AH. Students from the following programs must contact the Director of Graduate Studies in Mathematics <Laugesen@illinois.edu> to request permission to register for the course: MS:Economics:Policy Econ -UIUC, MS:Statistics -UIUC, MS:Statistics -- Applied -UIUC, MS: Statistics: Analytics, or MS: Financial Engineering. Restriction(s): Restricted to Graduate - Urbana-Champaign. Not intended for MS: Finance Cost Rec -UIUC, MS:Economics:Policy Econ -UIUC, MS:Statistics -UIUC, MS:Statistics -- Applied -UIUC, MS: Statistics: Analytics, or MS: Financial Engineering.