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.

Academic Year: