Selected Topics In Algebra
Mathematics
Institute of Natural and Applied Sciences
Third Cycle (Doctorate Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Selected Topics In Algebra | MAT604 | Elective | Doctorate degree | 1 | Fall | 8 |
Name of Lecturer(s)
Prof. Dr. Neşe ÖMÜR
Learning Outcomes of the Course Unit
1) He/She knows the concepts of Lie structure of prime rings, Lie structure of prime rings with involution.
2) He/She knows the concepts of Lie ideals in prime rings with derivative and Generalized Lie ideals.
3) He/She knows the concepts of simple rings and Jacobson radical.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | ||
| Learning Outcomes | ||||||||
| 1 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 3 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Not Required
Course Contents
Lie structure of prime rings, Lie structure of involution prime rings, Lie ideals with regular and nilpotent elements, Lie and Jordan structure of prime rings with derivative, Lie ideals in prime rings with derivative, Generalized Lie ideals, Nil and Nilpotent rings, descending chain condition, semi-simple rings, direct sums, a central idempotent elements, simple rings, Jacobson radical.
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Language of Instruction
Turkish
Work Placement(s)
Not Required