2010 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 2010 Spring 252 Section Number 01 Primary Instructor Miller,Ezra N Prerequisites Prerequisite: Mathematics 251 or equivalent.
Synopsis of course content
Ideals and modules over noetherian rings, gradings and Hilbert
series, affine and projective algebraic varieties, Groebner
bases, localization, primary decomposition, resolutions and
syzygies, normalization, dimension theory, completion.
Textbooks
Not yet decided. Possibilities include:
Commutative algebra, by David Eisenbud.
Introduction to commutative algebra, by Atiyah and Macdonald.
Assignments
The plan is to have five two-week homework assignments
Exams
There will be two midterms and a final exam, all take-home
Grade to be based on
Homework and exams
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