In this program
- Review of groups and homomorphisms
- Quotient groups
- Sylow theorems and solvable groups
- Modules over rings
- Projective modules
- Structure theorem for modules over PIDs (as covered)
Groups and modules
Structure theorem for modules over PIDs (as covered)
Graduate algebra · Theoretical / proof-based
Topic
Structure theorem for modules over PIDs (as covered)
Graduate Algebra — scope drawn from open graduate algebra notes (e.g. Milne Group Theory / field-algebra OER) and typical first-year graduate algebra syllabi.