Course Identification

Basic notion in commutative algebra
20224061

Lecturers and Teaching Assistants

Prof. Tsachik Gelander
Elyasheev Leibtag

Course Schedule and Location

2022
First Semester
Tuesday, 10:15 - 13:00, Ziskind, Rm 155
26/10/2021
18/03/2022

Field of Study, Course Type and Credit Points

Mathematics and Computer Science: Lecture; Elective; Regular; 4.00 points

Comments

N/A

Prerequisites

No

Restrictions

60

Language of Instruction

English

Attendance and participation

Expected and Recommended

Grade Type

Numerical (out of 100)

Grade Breakdown (in %)

50%
50%

Evaluation Type

Other

Scheduled date 1

N/A
N/A
-
N/A

Estimated Weekly Independent Workload (in hours)

4

Syllabus

1. Commutative rings

2. Modules 

3. Localizations

4. Spectrum and Zariski topology
5. Noetherian ring

6. Algebraic integers and integral extensions

7. Algebraic Geometry

8. Artin rings

9. Grading and Filtrations 

10. Dimension theory

11. Valuations

12. Fractional Ideals

13. Absolute values

Learning Outcomes

Upon successful completion of this course students should be able to:

  1. Commutative algebra is a beautiful mathematical theory which form the basic to algebraic number theory as well as algebraic geometry.

Reading List

Atiyah/MacDonald - Intro. to Commutative Algebra

Website

N/A