MATH-209 : Introduction to Modern Algebra II (B)

A continuation of MATH-198. The course offers a solid introduction in modern algebra by covering basic concepts that are at the foundation of modern mathematics. It continues the first course in algebra which introduced groups. This course will emphasize the understanding of the concepts, through examples and proof writing. The course will discuss the foundations of ring and field theory: notion of ideals, fundamental theorems of isomorphism for rings, polynomial rings, divisibility in rings, field extensions, algebraic extensions, vector spaces, module theory and other topics if time permits.