Blog

Algebra -I

Unit 1- A brief review of groups, their properties and examples, subgroups, cyclic groups, normal
subgroups, quotient groups, symmetric, alternating, and dihedral groups, homomorphism and
isomorphism theorems.
View Link
Unit 2- Group action, orbits and stabilizers, class equations and its applications, direct products,
semi-direct products, permutation groups, Lagrange‟s theorem, Cayley‟s theorem, and
Sylow‟s theorem
View Link
Unit 3- Introduction to rings, homomorphisms, ideals and quotients, prime and maximal ideals,
principal ideal domain, unique factorization domain, polynomial rings and irreducible
criteria, Euclidian domain.
View Link
Unit 4- Fields, field extensions, algebraic extensions, roots of a polynomial, simple, separable,
inseparable, and purely separable extensions, finite fields, perfect and imperfect fields.
View Link
Unit 5- chapter 5View Link

Leave a Reply

Your email address will not be published. Required fields are marked *