Syllabus Application
Commutative Algebra -1
MATH 546
Faculty:
Faculty of Engineering and Natural Sciences
Semester:
Fall 2025-2026
Course:
Commutative Algebra -1 - MATH 546
Classroom:
FENS-G059
Level of course:
Masters
Course Credits:
SU Credit:3.000, ECTS:10
Prerequisites:
-
Corequisites:
-
Course Type:
Lecture
Instructor(s) Information
Ayesha Asloob Qureshi
- Email: aqureshi@sabanciuniv.edu
Course Information
Catalog Course Description
It is an introductory course on commutative algebra, based on the book of M. F. Atiyah and I. G. Macdonald, titled “Introduction to commutative algebra”. This course aims to cover the following topics. 1. Rings and ideals 2. Rings and Modules of fractions 3. Primary decomposition 4. Integral Dependence and valuations 5. Noether Normalization 6. Chain conditions 7. Noetherian and Artinian rings 8. The Nullstellensatz and Spec of a ring 9. Zariski topology on Spec of a ring 10. Graded rings and modules 11. Dimension theory
Course Learning Outcomes:
Course Objective
To understand the basics of commutative ring theory
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Course Materials
Resources:
Lecture notes
Text book: Introduction to Commutative Ring Theory (Attiyah, Macdonald)
Text book: Introduction to Commutative Ring Theory (Attiyah, Macdonald)