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Modern Algebra. Instructor: Prof. Manindra Agrawal, Department of Computer Science and Engineering, IIT Kanpur.
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Description
This course discusses topics in abstract algebra, the study of algebraic structures such as Groups, Rings and Fields. The course will focus on teaching the definitions and basic properties of these algebraic structures. And the course will see applications of the algebraic structures in mathematics and computer science. (from nptel.ac.in)
Course content
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- Lecture 01 – Introduction to Abstraction Unlimited
- Lecture 02 – Subgroups and Homomorphism Unlimited
- Lecture 03 – Isomorphism Unlimited
- Lecture 04 – Quotienting Unlimited
- Lecture 05 – Structure Theorem Unlimited
- Lecture 06 – Applications Unlimited
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- Lecture 07 – Introduction Unlimited
- Lecture 08 – Failure of Unique Factorization Unlimited
- Lecture 09 – Birth of Ideals Unlimited
- Lecture 10 – Ideal Arithmetic Unlimited
- Lecture 11 – Special Ideals Unlimited
- Lecture 12 – Dedekind Domains Unlimited
- Lecture 13 – Quotient Rings Unlimited
- Lecture 14 – Fields Unlimited
- Lecture 15 – Cauchy Sequences and Real Numbers Unlimited
- Lecture 16 – Properties of Fields Unlimited
- Lecture 17 – Finite Fields Unlimited
- Lecture 18 – Application of Fields Unlimited
Instructor
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