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Course10610414918 lectures

Modern Algebra

Prof. Manindra Agrawal · IIT Kanpur

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Lecture 1 - Groups: Introduction to abstraction Video
  2. Lecture 2 - Groups: Subgroups and homomorphism Video

Week 2

  1. Lecture 3 - Groups: Isomorphism Video
  2. Lecture 4 - Groups: Quotienting Video

Week 3

  1. Lecture 5 - Groups: Structure Theorem Video
  2. Lecture 6 - Groups: Applications Video

Week 4

  1. Lecture 7 - Rings: Introduction Video
  2. Lecture 8 - Rings: Failure of Unique Factorization Video
  3. Lecture 9 - Rings: Birth of Ideals Video

Week 5

  1. Lecture 10 - Rings: Ideal Arithmetic Video
  2. Lecture 11 - Rings: Special Ideals Video

Week 6

  1. Lecture 12 - Rings: Dedekind Domains Video
  2. Lecture 13 - Rings: Quotient Rings Video

Week 7

  1. Lecture 14 - Fields Video
  2. Lecture 15 - Cauchy sequences and real numbers Video
  3. Lecture 16 - Properties of Fields Video

Week 8

  1. Lecture 17 - Finite Fields Video
  2. Lecture 18 - Application of Fields Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kanpur
Department
Computer Science and Engineering
Teacher
Prof. Manindra Agrawal
Level
Undergraduate
Language
English
Subjects
Computer science, Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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