MA41002: Modern Algebra

MA41002
Course name	Modern Algebra
Offered by	Mathematics
Credits	4
L-T-P	3-1-0
Previous Year Grade Distribution
2 2 3 11 6 6 1 EX A B C D P F
Semester	{{{semester}}}

Prerequisite

None

Syllabus mentioned in ERP

Groups, subgroups, cyclic groups, cosets, Lagrange theorem. Normal subgroup, quotient group, homomorphism, fundamental theorem of homomorphism, permutation group, Cayley’s theorem, direct product of groups. Commutative ring with identity - Axioms, examples, integral domain, field, ideals, quotient ring, prime and maximal ideal, principal ideal domain, Euclidean domain, the field of quotients of an integral domain, polynomial ring over a field. Roots of polynomials, extension of fields, splitting fields.