250006 VO VO Algebra 1 (2017S)

The lecture Algebra I deals mainly with groups and rings. The following topics will be covered: groups: normal subgroups, factor groups, homomorphisms, Lagrange's Theorem,cyclic groups, direct products, free groups, finitely generated abelian groups. rings: ideals, factor rings, homomorphisms, direct products, prime and irreducible elements, polynomial rings and ideals in these rings, Hilbert Basis Theorem.