Summary

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.

Content

Learning Prerequisites

Required courses

• Linear algebra
• Théorie des groupes
• Anneaux et corps

Learning Outcomes

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

Teaching methods

ex chatedra course with exercise session

Assessment methods

1.) Written final exam.

2.) Bonus exercises to be handed in during the semsester, worth up to 30% of the final grade.

Resources

Notes/Handbook

There will be pdf notes provided for the course.