Commutative Algebra

Fall 2021

Introduction to Commutative Algebra

Listed in: Mathematics and Statistics, as MATH-415

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.

Expectations

Students who enroll in this course will likely encounter and be expected to engage in the following intellectual skills, modes of learning, and assessment: Problem sets, In-class quizzes or exams, Group projects, Take-home exams. Students with documented disabilities who will require accommodations in this course should be in consultation with Accessibility Services and reach out to the faculty member as soon as possible to ensure that accommodations can be made in a timely manner.

If Overenrolled: Priority will be given to MATH majors.

Keywords

Quantitative Reasoning

Course times and locations

MATH 415 - LEC

Section 01
Tu 10:00 AM - 11:20 AM CONV 308
Th 10:00 AM - 11:20 AM CONV 308

MATH 415 - DIS

Section 01
F 01:30 PM - 02:20 PM SCCE E210

If Overenrolled

Priority will be given to MATH majors.

Offerings

2022-23: Not offered
Other years: Offered in Fall 2021

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