ABSTRACT ALGEBRA
Paper Code:
MAT501
Credits:
3
Contact Hours:
45.00
Max. Marks:
100.00
Unit I:
I
9.00
Definition of a group with examples and simple properties. Order of elements in a Group and related theorem.
Unit II:
II
9.00
Subgroups ,Cyclic groups, Permutation groups , Alternating group
Unit III:
III
9.00
Cosets, Lagrange’s theorem Normal subgroups , Quotient group.
Unit IV:
IV
Homomorphism and Isomorphism, the Fundamental theorem of homomorphism. Rings:-Definition, Examples and Elementary properties.
Unit V:
V
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
Academic Year:
