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:
- K. C. Sarangi, Elements of Abstract Algebra, RBD, Jaipur, 2009.
- P.B.Bhattacharya, S.K.Jain and S.R.Nagpaul, Basic Abstract Algebra, Cambridge University Press, 2001.
- G. C. Sharma, Modern Algebra, Shivlal Agarwal & Co. Agra, 1998.
References:
- Deepak Chatterjee, Abstract Algebra.PHI. Ltd.New Delhi.
- I.N.Herstein, Topics in Algebra, Wiley Eastern Ltd, New Delhi
- Malcolm Birkoff, Abstract Algebra, Cambridge University Press
