ABSTRACT ALGEBRA
Paper Code:
MAT501
Credits:
3
Contact Hours:
45.00
Max. Marks:
100.00
9.00
Definition of a group with examples and simple properties. Order of elements in a Group and related theorem.
9.00
Subgroups ,Cyclic groups, Permutation groups , Alternating groups.
9.00
Cosets, Lagrange’s theorem Normal subgroups , Quotient group.
9.00
Homomorphism and Isomorphism, the Fundamental theorem of homomorphism. Rings:-Definition, Examples and Elementary properties.
9.00
Integral domain, Fields, Subfields and their simple properties, Subrings. Ideal of a ring, Characteristic of a ring.
Essential Readings:
- Elements of Abstract Algebra, K. C. Sarangi , RBD, Jaipur, 2009.
- Basic Abstract Algebra, P.B.Bhattacharya , S.K.Jain and S.R.Nagpaul, Cambridge University Press, 2001.
- Modern Algebra, G. C. Sharma Shivlal Agarwal & Co. Agra, 1998.
References:
- Abstract Algebra, Deepak Chatterjee, PHI. Ltd. New Delhi,2001
- Topics in Algebra, I.N. Herstein , Wiley Eastern Ltd., New Delhi,2008
- Abstract Algebra,Theory and Applications by Thomas W.Judson & Robert A. Beezer,2015
Academic Year:
