MSM1202 – ALGEBRA - I
Unit 1:
- [Revision: Group,
- Subgroup,
- Normal Subgroups,
- Quotient groups,
- Homomorphism of groups,
- Isomorphic groups,
- Permutation groups,
- Direct product of groups]
- Cayley’s theorem,
- Conjugacy relation on a group and its applications,
- Solvable groups.
Unit 2:
- Group actions, Sylow’s theorem,
- Finite abelian groups,
- Simple groups.
Unit 3:
- [Revision: Ring,
- Subrings,
- Ring homomorphisms,
- ideals and quotient rings,
- Prime and maximal ideals,
- Polynomial rings]
- Field of fractions of an integral domain,
- Divisibility in rings,
- Euclidean ring,
- Principal Ideal rings.
Unit 4:
- Polynomial ring over a rational field,
- Irreducibility criteria,
- Polynomial ring over a commutative ring,
- Unique factorization domain.
Download Reference Books:
The Textbook: Topics in Algebra - I. N. Herstain, John Wiley and Sons Inc., 2nd Edition.
1. Basic Abstract Algebra - Bhattacharya, Jain and Nagpal, 2nd Edition.
2. Algebra - S. Mcclane and G. Birkhoff, 2nd Edition
3. Basic Algebra - N. Jacbson, Hind. Pub. Corp.1984.
4. A first course in Abstract Algebra - John Fraleigh (3rd), Narossa Pub House, New Delhi.
OLD Papers
* April/May 2020 (MCQ Base Online Exam held in 21/09/2020)
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