# MATH-UA 343 Algebra

4 points. Offered in the fall and the spring.

## Course Description

Introduction to abstract algebraic structures, including groups, rings, and fields. Sets and relations. Congruences and unique factorization of integers. Groups, permutation groups, homomorphisms and quotient groups. Rings and quotient rings, Euclidean rings, polynomial rings. Fields, finite extensions.

## Prerequisites

MATH-UA 123 Calculus III or MATH-UA 213 Math for Economics III (for Economics majors), and MATH-UA 140 Linear Algebra with a grade of C or better and/or the equivalent. Additionally, it is suggested for students to have taken MATH-UA 325 Analysis as a prerequisite.