NOC:Modern Algebra


Lecture 1 - Groups : Introduction to abstraction


Lecture 2 - Groups : Subgroups and homomorphism


Lecture 3 - Groups : Isomorphism


Lecture 4 - Groups : Quotienting


Lecture 5 - Groups : Structure Theorem


Lecture 6 - Groups : Applications


Lecture 7 - Rings : Introduction


Lecture 8 - Rings : Failure of Unique Factorization


Lecture 9 - Rings : Birth of Ideals


Lecture 10 - Rings : Ideal Arithmetic


Lecture 11 - Rings : Special Ideals


Lecture 12 - Rings : Dedekind Domains


Lecture 13 - Rings : Quotient Rings


Lecture 14 - Fields


Lecture 15 - Cauchy sequences and real numbers


Lecture 16 - Properties of Fields


Lecture 17 - Finite Fields


Lecture 18 - Application of Fields