
| Course Code | : MTK512 |
| 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 | : 8 |
The goal of this course is to analyze some properties of rings by using radicals.
Rings and ideals, quotients rings and homomorphisms, minimal ve maximal conditions, polynomial rings, nilpotent ideals and classical radical, ideals in semisimple rings, Wedderburn Theorem, modules, definition and properties of Jacobson radical, primitive rings, Levitzki radical, Brown-McCoy radical.
| Lec. Okan ARSLAN |
| 1. | To be able to illustrate rings and ideals. |
| 2. | To be able to list the properties of classical radical. |
| 3. | To be able to find the characterization of variable radicals. |
| 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. | Gray, A radical approach to algebra, Addison-Wesley Publishing Company, 1970. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Final Examination | 1 | %70 |
| Assignment | 2 | %30 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 3 | 3 | 84 |
| Assignment | 2 | 16 | 2 | 36 |
| Individual Work | 14 | 0 | 2 | 28 |
| Final Examination | 1 | 50 | 2 | 52 |
| TOTAL WORKLOAD (hours) | 200 | |||
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 | 4 | 4 | 3 | ||||||||||