Groups: Groups, Subgroups, Normal subgroups, Quotient groups, Group homomorphisms, Isomorphisms, Isomorphism theorems, Direct products, Finitely generated abelian groups, Group actions, Permutation groups, Sylow�s theorems, Free abelian groups. Rings: Rings, Subrings, Ideals, Quotient rings, Ring homomorphisms, Integral domains, Fields, Finite fields, Polynomial rings, Simple applications to Number theory.

Modules: Modules, Submodules, Free modules, Rank of a module, Module homomorphisms.  


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Last updated: 20 May 2024