Commutative Algebra is an essential area of mathematics that provides indispensable tools to many areas, including Number Theory and Algebraic Geometry. This course will introduce you to the fundamental concepts for the study of commutative rings, with a special focus on the notion of “prime ideals,” and how they generalize the well-known notion of primality in the set of integers. Possible topics include Noetherian rings, primary decomposition, localizations and quotients, height, dimension, basic module theory, and the Krull Altitude Theorem.
The Class: Type: lecture
Requirements/Evaluation: evaluation will be based primarily on homework and exams
Prerequisites: MATH 355 or permission of instructor
Distributions: Division III; Quantative/Formal Reasoning;