[Groups and Their Basic Properties]

[Subgroups]

[Cyclic Groups]

[Cosets and Coset Decomposition]

[Normal Subgroups]

[Quotient Groups]

[Homomorphism and Isomorphism of Groups]

[Permutation Groups, Transformation Groups and Cayley's Theorem]

[Group Automorphism, Inner Automorphism, Group of Automorphism]

[Conjugacy Relation, Centraliser, Normaliser, Counting Principle and Class Equation of a Finite Group]

[Cauchy’s Theorem for Finite Abelian Groups and Non-Abelian Groups]

[Introducing to Rings and Subrings]

[Ring Homomorphism, Ideals and Quotient Rings]

[Polynomial Rings and its Properties]

[Integral Domain, Principal Ideal Domain, Unique Factorisation Domain and Euclidean Domain]

[Field]