Math 252: Commutative Algebra and Algebraic Geometry (Spring
2003)
Instructor
Bill Pardon
Description
This is a basic introductory course in commutative
algebra for first year graduate students. Commutative algebra forms the
foundation on which algebraic geometry and algebraic number theory are
built, however it is an important course for all students interested in
studying geometry, topology, and mathematical physics.
Topics: Extension and contraction of ideals, modules of fractions, primary
decomposition, integral dependence, chain conditions, affine algebraic
varieties, Dedekind domains, completions.
Text
- Commutative algebra with a view toward algebraic geometry, by David
Eisenbud, Graduate Texts in Math., vol. 150, Springer-Verlag, Berlin and
New York, 1995
Homework
Weekly homework assignments graded by the instructor.
Prerequisites
Math 251 (basic algebra) is a prerequisite.
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Last modified: 31 October 2002