| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Modul Theory | MAT616 | Elective | Doctorate degree | 1 | Fall | 8 |
Name of Lecturer(s)
Prof. Dr. Neşe ÖMÜR
Associate Prof. Dr. Yücel TÜRKER ULUTAŞ
Learning Outcomes of the Course Unit
1) Explain the concepts of modules, projective and injective modules
2) Recall the concepts of Artinian and Noetherian modules
3) Evaluate the concepts of finitely generated modules over principal ideal domain
4) Gaining the skills required for effective study
5) Make the correct interpreting and win the knowledge in plain
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 | |
| 4 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 5 | 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
Candidates are provided with in-depth knowledge on modules, free modules, cartesian products and direct sums of modules, split exact sequences, the group of homomorphisms, projective modules, injective modules, length of a module, Artinian and Noetherian modules, simple and semisimple modules, radicals of modüues and rings, centralizer, finitely generated modules over principal Ideal domain, rings of linear transformations of vector spaces, Von Neumann regular rings.
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Language of Instruction
Turkish
Work Placement(s)
Not Required