MATH 502 P1 - Commutative Algebra
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. Course Information: Prerequisite: MATH 501 or consent of instructor.
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 Academic Program Restrictions: MS:Economics:Policy Econ -UIUC
Course Level: Graduate Credit: 4 Term(s): Fall
Option 1Number of Required Visit(s): 0
Academic Program Restrictions:
MS:Economics:Policy Econ -UIUC
Course Level: Graduate