Fall 2021

Introduction to Commutative Algebra

Listed in: Mathematics and Statistics, as MATH-415

Moodle site: Course

Faculty

Sema Gunturkun (Section 01)

Description

Commutative algebra is known as the study of commutative rings and their ideals and modules. Besides being an important branch of algebra for its own sake, commutative algebra has strong ties to other areas, such as algebraic geometry and algebraic number theory, as it provides essential tools for them. This course is an introductory course in commutative algebra. We will explore more about rings (especially polynomial rings) and ideals, which are taught in Math 350. We will also introduce another important algebraic structure, namely modules over rings. Other fundamental topics include Noetherian rings, The Hilbert Basis Theorem, Gröbner bases, localization, primary decompositions, and tensor products.

Requisite: Math 350 or consent of the instructor. Limited to 24 students. Fall semester. Visiting Assistant Professor Gunturkun. 

If Overenrolled: Priority will be given to MATH majors.

Keywords

Quantitative Reasoning

Offerings

2021-22: Offered in Fall 2021
Other years: Offered in Fall 2021