
| Course Code | : MTK579 |
| 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 course aims to introduce and to understand the definition and fundamental notions of gamma rings which is the generalization of usual rings and the course aims to give information about the structure of gamma rings.
Definition of a gamma ring and examples, operator rings, the notion of an ideal and homomorphism, primeness, primitivity, simpleness, density theorem, prime radical, Levitzki nil radical, Jacobson radical.
| Lec. Okan ARSLAN |
| 1. | Ability to understand the notion and fundamental properties of gamma ring, and to learn examples of some gamma rings. |
| 2. | Ability to understand the operator rings and its fundamental properties of a gamma ring. |
| 3. | Ability to know about the relations between operator rings and gamma rings. |
| 4. | Ability to determine the information about the structure of a gamma ring. |
| 5. | Ability to know about the radicals of a gamma ring. |
| 1. | Gamma Rings, S. Kyuno, Hadronic Press Inc., Palm Habor, 1991. |
| 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 | 4 | 3 | 3 | 3 | 3 | 4 | |||||||||
OÇ-2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | ||||||||
OÇ-3 | 4 | 4 | 4 | 5 | 4 | 3 | 4 | 4 | |||||||
OÇ-4 | 4 | 4 | 4 | 5 | 5 | 3 | 4 | 4 | |||||||
OÇ-5 | 4 | 4 | 4 | 5 | 5 | 3 | 4 | 4 | |||||||