MATH-311 / 5 credits
Teacher: Patakfalvi Zsolt
The students are going to solidify their knowledge of ring and module theory with a major emphasis on commutative algebra and a minor emphasis on homological algebra.
-basic definitions of module theory
-the fundamental theorem of finitely generated modules over a principal ideal domain
-Jordan normal form
-going up theorem
-going down theorem
- Linear algebra
- Théorie des groupes
- Anneaux et corps
By the end of the course, the student must be able to:
- Manipulate modules over rings.
- Distinguish between properties of modules and rings
- Characterize finitely generated modules over a PID.
- Analyze rings and modules
- Apply the main theorems of the class
ex chatedra course with exercise session
1.) Written final exam.
2.) Bonus exercises to be handed in during the semsester, worth up to 30% of the final grade.
There will be pdf notes provided for the course.
In the programs
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Rings and modules
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks