Algebra: Syllabus
- Groups
- Subgroups
- Cyclic groups
- Cosets
- Lagrange’s Theorem
- Normal subgroups
- Quotient groups
- Homomorphism of groups
- Basic isomorphism theorems
- Permutation groups
- Cayley’s theorem
- Rings
- Subrings and ideals
- Homomorphism of rings
- Integral domains
- Principal ideal domains
- Euclidean domains
- Unique factorization domains
- Fields
- Quotient fields