Information Package / Course Catalogue
| Course Code | : MTK507 |
| Course Type | : Area Elective |
| Couse Group | : Second Cycle (Master's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 6 |
In order to study open problems in Algebraic Geometry, commutative rings must be studied. This course aims to introduce the fundamental and general concepts of Commutative Rings.
Rings and ıdeals, Localization of rings, Modules, Exact sequences, Prime and Primary ideals, Primary decomposition, Noetherian rings and modules, Artinian rings and modules, Extension of rings, Hilbert Nullstellensats, Dimension Theory.
| 1. | To be able to illustrate rings and ideals. |
| 2. | To be able to list the properties of modules. |
| 3. | To be able to find the characterization of Noether ve Artin rings. |
| 4. | To be able to apply the ability of abstract thinking to solving problem. |
| 5. | To be able to gain the skill of interpreting some interrelations among these concepts |
| 1. | Commutative ring theory, H. Matsumura, Cambridge Unv. Press, 1997 |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 1 | %5 |
| Term Assignment | 1 | %5 |
| Midterm Examination | 1 | %20 |
| Final Examination | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 1 | 3 | 56 |
| Assignment | 1 | 10 | 2 | 12 |
| Term Project | 1 | 10 | 2 | 12 |
| Individual Work | 14 | 0 | 1 | 14 |
| Midterm Examination | 1 | 20 | 2 | 22 |
| Final Examination | 1 | 32 | 2 | 34 |
| TOTAL WORKLOAD (hours) | 150 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | PÇ-14 | PÇ-15 | |
OÇ-1 | 3 | 3 | 3 | 3 | 4 | ||||||||||
OÇ-2 | 4 | 4 | 3 | 4 | 4 | 3 | 4 | ||||||||
OÇ-3 | 3 | 4 | 3 | 4 | 4 | 3 | 3 | ||||||||
OÇ-4 | 4 | 4 | 4 | 5 | |||||||||||
OÇ-5 | 4 | 4 | 3 | 3 | |||||||||||