2009 Spring MATH 252-01
Bulletin Course Description Affine algebraic varieties, Groebner bases, localization, chain conditions, dimension theory, singularities, completions. Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
Title COMMUTATIVE ALGEBRA Department MATH Course Number 2009 Spring 252 Section Number 01 Primary Instructor Aspinwall,Paul S Prerequisites Prerequisite: Mathematics 251 or equivalent. Course Homepage www.cgtp.duke.edu/~psa/cls/252/
Synopsis of course content
Rings, Ideals, Groebner Bases, Localization, Resolutions and
Syzygies, Normalization, Primary Decompositions, some dimension theory, Completions. There will be extensive use of the commutative algebra package "Singular".
Textbooks
Greuel and Pfister, A Singular Introduction to Commutative Algebra.
Assignments
Weekly homework assignments.
Exams
There will be a final exam (probably take-home).
Grade to be based on
Homework and any exams or projects
