MATH 676
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Commutative Algebra
Mathematics
College of Computational, Mathematical, & Physical Sciences
Course Description
Commutative rings, modules, tensor products, localization, primary decomposition, Noetherian and Artinian rings, application to algebraic geometry and algebraic number theory.
When Taught
Contact Department
Min
3
Fixed/Max
3
Fixed
3
Fixed
0
Title
Overview
Learning Outcome
Topics may include, Commutative rings and ideals, Modules, Tensor products, Localization, Primary decomposition, Integral dependence, Noetherian and Artinian rings, Dedekind domains and discrete valuation rings, and Applications to algebraic geometry.
Title
Learning Outcomes
Learning Outcome
Students should know all relevant definitions, correct statements of the major theorems (including their hypotheses and limitations), and examples and non-examples of the various concepts. The students should be able to demonstrate their mastery by solving non-trivial problems related to these concepts, and by proving simple (but non-trivial) theorems about the concepts below, related to, but not identical to, statements proven by the text or instructor. For more detailed information visit the Math 676 Wiki page.
