The course structure and material follow Harvard course on Abstract Algebra:
- Row reduction, row echelon matrix and theorems, Inverse matrix, Determinants and theorems, Permutation, Symmetric group, Cyclic notation , transposition, permutation matrix, sign of permutation, Other formulas for determinants, Co-factor matrix.
- Law of Composition, Groups and Sub-groups, Abelian Group, General Linear Group, Order of group, Infinite abelian group, cancellation law, permutation group, General Linear group, symmetric group, subgroup, Special linear group, Proper subgroup, Subgroup of the additive group of , gcd and Euclidean algorithm [upto 18];
Here, you will find the content from “Contemporary Abstract Algebra” by J.A. Gallian (7th Edition).
Page for this Book. (Include Prerequisites, Chapters and its contents links, Solutions to Exercises links )
Chapter-5- Permutation Groups
Solutions to the problems in the book.
Chapter-10- Group Homomorphisms
Exercise Solution: 
Chapter-12- Introduction to Rings
Exercise Solutions [1-13]
Chapter-14- Ideal and Factor Rings
Chapter-15- Ring Homomorphisms
Chapter-16- Polynomial Rings
Exercise Solutions [1-18]
Chapter-17- Factorization of Polynomials