ADVANCED CONCEPTS OF ALGEBRA

Catalog description

This course covers advanced topics in abstract algebra, including basic number theory; divisibility and congruence of integers; examples and properties of rings; polynomial rings; unique factorization and irreducibility of polynomials; quotient rings; finite fields; examples and basic properties of groups; Cayley tables and isomorphisms; subgroups; cosets; and the theorems of Lagrange, Euler and Fermat.