NPTEL : NOC:Modern Algebra (Computer Science and Engineering)

Co-ordinators : Prof. Manindra Agrawal


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