Curriculum Chapters
Sets, Relations, and Integers
6 Academic Sections
Introduction to Groups
2 Academic Sections
Permutation Groups
2 Academic Sections
Subgroups and Normal Subgroups
4 Academic Sections
Homomorphisms and Isomorphisms of Groups
6 Academic Sections
Direct Product of Groups
2 Academic Sections
Sylow Theorems
4 Academic Sections
Solvable and Nilpotent Groups
2 Academic Sections
Finitely Generated Abelian Groups
2 Academic Sections
Introduction to Rings
2 Academic Sections
Subrings, Ideals, and Homomorphisms
3 Academic Sections
Ring Embeddings
1 Academic Sections
Direct Sum of Rings
1 Academic Sections
Polynomial Rings
1 Academic Sections
Euclidean Domains
3 Academic Sections
Unique Factorization Domains
3 Academic Sections
Maximal, Prime, and Primary Ideals
2 Academic Sections
Noetherian and Artinian Rings
1 Academic Sections
Modules and Vector Spaces
1 Academic Sections
Rings of Matrices
2 Academic Sections
Field Extensions
3 Academic Sections
Multiplicity of Roots
1 Academic Sections
Finite Fields
1 Academic Sections
Galois Theory and Applications
4 Academic Sections
Geometric Constructions
1 Academic Sections
Coding Theory
3 Academic Sections
Gröbner Bases
2 Academic Sections