MATH 6340
Commutative Algebra with Applications in Algebraic Geometry
Covers Dedekind domains, primary decomposition, Hilbert basis theorem, and local rings. May be taken concurrently with MATH 6310.
MATH 6340 - Commutative Algebra with Applications in Algebraic Geometry
Readings
- (optional) Eisenbud, David, Commutative Algebra with a View Toward Algebraic Geometry , Springer-Verlag, 1995 (ISBN: 0-387-94269-6) — free e-book through the Cornell Math Library
- (optional) Matsumura, Hideyuki, Commutative Ring Theory , Cambridge University Press, 1989 (ISBN: 0-521-36764-6) — free e-book through the Cornell Math Library
- (optional) Atiyah and Macdonald, Introduction to Commutative Algebra, Perseus Books Group, 2000 (ISBN: 0-201-40751-5)
Prerequisites & course information
modules and ideals (e.g., strong performance in MATH 4330 and either MATH 3340 or MATH 4340), or permission of instructor.
Sources
- Course catalogue ↗2026-2027
- Official public course syllabus or department reading list ↗MATH 6340 - Commutative Algebra with Applications in Algebraic Geometry