Rings and Modules

Course content

Classical theory of rings, ideal theory, isomorphism theorems. The group ring. Localization. Submodules, direct products direct sums, factor modules and factor rings. Homomorphisms. Classical isomorphism the-orems. The endomorphism ring of a module. Free modules, free and divisible abelian groups. Tensor product of modules. Finitely generated modules over principal ideal domains.