Courses Code: MTS 311
Course Title: GROUPS AND RINGS
Number of unit : 3 UNITS
Office Lecturer: College of Natural Science, Department of Mathematical Science
PRQT MTS 211
Groups, subgroups, cyclic groups. Lagrange’s theorem and applications, normal subgroups, quotient groups. Cayleys theorem. Groups acting on sets. Sylow theorems. Commutators, direct product, composition series. Rings, quotient rings, Isomorphism theorems, prime and maximal ideals, principal ideal domains, Euclidean domain, unique factorization domains.