MSM1202 - ALGEBRA - I

HNGU M.SC. MATHEMATICS SEMESTER - II 

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, 3nd 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 Question Paper
May/June - 2012	Download
Nov/Dec - 2014	Download
Nov/Dec - 2015	Download
Nov/Dec - 2016	Download
May/June - 2017	Download
Nov/Dec - 2018	Download
Nov/Dec - 2019	Download
Nov/Dec - 2020 (MCQ)	Download