Information Package / Course Catalogue
| Course Code | : MTK508 |
| 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 |
This course is suggested to students who study noncommutative rings. It gives the fundemantal concepts of noncommutative rings, Applications of Wedderburn’s Theorem, Commutativity theorems,
Simple and primitive rings, The radical of a ring, semisimple Artinian Rings, Semisimple rings, The Density Theorem, Semisimple rings, Simple algebras, The Brauer’s Groups, Maximal subfields, Some classic theorems, Representation of finite groups, polynomial identities, The Goldie’s Theorem, Ultra-products and a theorem of Posner.
| 1. | To be able to illustrate radical and semisimple rings. |
| 2. | To be able to list the properties of simple algebras. |
| 3. | To be able to find the characterization of finite groups. |
| 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. | Noncommutative Rings, I.N.Herstein |
| 2. | Algebra, Hungerford |
| 3. | Topics In Ring Theory, I.N.Herstein |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 2 | %30 |
| Final Examination | 1 | %70 |
| 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 | 4 | 3 | 4 | |||||||
OÇ-3 | 3 | 4 | 3 | 4 | 4 | 4 | 3 | 3 | |||||||
OÇ-4 | 4 | 4 | 4 | 5 | |||||||||||
OÇ-5 | 4 | 4 | 4 | 4 | |||||||||||