MATH 502

Fall 2025 Part of Term 1

Part of Term 1
Aug 25-Dec 10

Commutative Algebra

SHOW FINAL EXAM SCHEDULE

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 2025
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	30817	Online	P1	12:30PM -1:50PM	TR	n.a.	Dutta, S	Part of Term: 1 Date Range: 08/25/25-12/10/25 Section Info: Undergraduates seeking approval to enroll should obtain permission from the Math Undergrad Director by filling out the webform located at https://forms.illinois.edu/sec/1209343045 Students from the following programs must contact the Director of Graduate Studies in Mathematics <math-grad@illinois.edu> to request permission to register for the course: MS:Economics:Policy Econ -UIUC or MS: Financial Engineering. Restricted to Graduate - Urbana-Champaign. Not intended for MS:Economics:Policy Econ -UIUC, MS:Economics:Policy Econ -UIUC, MS: Financial Engineering, MENG:Mechanical Enginerng-UIUC, MENG:Elec & Computer Eng-UIUC, or MENG:Engineering:Comp Eng-UIUC Restriction(s): Restricted to Graduate - Urbana-Champaign. Not intended for MS:Economics:Policy Econ -UIUC, MS:Economics:Policy Econ -UIUC, MS: Financial Engineering, MENG:Mechanical Enginerng-UIUC, MENG:Elec & Computer Eng-UIUC, or MENG:Engineering:Comp Eng-UIUC.