Course Identification

Title:

Basic notion in commutative algebra

Code:

20224061

Lecturers and Teaching Assistants

Lecturers:

Prof. Tsachik Gelander

TA's:

Dr. Elyasheev Leibtag

Course Schedule and Location

Year:

2022

Semester:

First Semester

When / Where:

Tuesday, 10:15 - 13:00, Jacob Ziskind Building, Rm 155

First Lecture:

26/10/2021

End date:

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

Participants:

60

Language of Instruction

English

Attendance and participation

Expected and Recommended

Grade Type

Numerical (out of 100)

Grade Breakdown (in %)

Assignments:

50%

Final:

50%

Evaluation Type

Other

Scheduled date 1

Date / due date

N/A

Location

N/A

Time

-

Remarks

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:

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