250015 VO Algebraic structures (2011W)

Groups: normal divisors and quotients, homomorphy and isomorphy theorems, theorem of Lagrange, cyclic groups, products, permutation groups, examples;
Rings: characteristics and prime rings, ideals and factor rings, homomorphy theorem, direct sums and products, polynomial rings, principal ideal domains, Euclidean algorithm, Chinese remainder theorem for commutative rings, integral domains and quotient fields, factorial rings, irreducibilty criterion, examples.