| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Gamma Rings | MAT613 | 3 + 0 | 3.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Assoc. Prof. Dr. İzzettin DEMİR |
| Instructors | |
| Assistants | |
| Goals | Ensuring high level of knowledge related to the topics in the content of the course, giving the ability of using this konwledge in discussion and research environments to students. |
| Course Content | Definition of gamma ring and various examples,Operator ring ,İdeals in gamma ring,Homomorfizms and residue class ring,Theorems related to prime gamma rings,Primitif Gamma rings,Semisimple Gamma rings, Gamma rings with minimum conditional,Sub direct addition of gamma rings,Commutative Gamma Rings,Reguler Gamma Rings, |
| Learning Outcomes |
- Students will learn theoretical concepts in mathematics - Students will learn how to read academical journals |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Definition of gamma ring and various examples | |
| 2. Week | Operator ring | |
| 3. Week | Ideals in gamma ring | |
| 4. Week | Homomorphisms and residue class ring | |
| 5. Week | Theorems related to prime gamma rings | |
| 6. Week | Primitive Gamma rings | |
| 7. Week | Semisimple Gamma rings, Gamma rings with minimum conditional | |
| 8. Week | Midterm | |
| 9. Week | Sub direct addition of gamma rings | |
| 10. Week | Sub direct addition of gamma rings | |
| 11. Week | Commutative Gamma Rings | |
| 12. Week | Commutative Gamma Rings | |
| 13. Week | Regular Gamma Rings | |
| 14. Week | Regular Gamma Rings |
| 1.Article asociated with this topic |
| 2.Gamma Rings. Shoji Kyuno. |
| Program Requirements | Contribution Level | DK1 | DK2 | Measurement Method |
|---|---|---|---|---|
| PY1 | 3 | 0 | 0 | - |
| PY2 | 3 | 0 | 0 | 40 |
| PY3 | 3 | 0 | 0 | 40 |
| PY4 | 1 | 0 | 0 | 40 |
| PY5 | 4 | 0 | 0 | 60 |
| PY8 | 4 | 0 | 0 | 60 |
| PY9 | 4 | 0 | 0 | 60 |
| PY10 | 3 | 0 | 0 | 60 |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 15 | 2 | 30 |
| Homework 2 | 15 | 2 | 30 |
| Final | 1 | 2 | 2 |
| Practice | 15 | 3 | 45 |
| Practice End-Of-Term | 15 | 3 | 45 |
| Classroom Activities | 15 | 3 | 45 |
| Total Workload | 199 | ||
| ECTS Credit of the Course | 8.0 | ||
