MATH461 RINGS AND MODULES
| Course Code: |
2360461 |
| METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
| ECTS Credit: |
6.0 |
| Department: |
Mathematics |
| Language of Instruction: |
English |
| Level of Study: |
Undergraduate |
| Course Coordinator: |
Assoc.Prof.Dr. SEMRA ÖZTÜRK |
| Offered Semester: |
Fall Semesters. |
| Prerequisite: |
Set 1: 2360367
|
| The course set above should be completed before taking
MATH461 RINGS AND MODULES. |
Course Content
Classical theory of rings, ideal theory, isomorphism theorems. The group ring. Localization. Submodules, direct products direct sums, factor modules and factor rings. Homomorphisms. Classical isomorphism the-orems. The endomorphism ring of a module. Free modules, free and divisible abelian groups. Tensor product of modules. Finitely generated modules over principal ideal domains.
