MATH 411 Commutative Algebra (Not offered 2006-2007; to be offered 2007-2008) (Q)
Commutative algebra has applications ranging from algebraic geometry to coding theory. For example, one can use commutative algebra to create error correcting codes. It is perhaps most often used, however, to study curves and surfaces in different spaces. To understand these structures, one must study polynomial rings over fields. This course will be an introduction to commutative algebra. Possible topics include polynomial rings, localizations, primary decomposition, completions, and modules.
Evaluation will be based primarily on homework and exams.
Prerequisites: Mathematics 312 or 317 or permission of the instructor. No enrollment limit (expected: 15).