2011-2012 Academic Catalog

Jan 06, 2025

2011-2012 Academic Catalog [ARCHIVED CATALOG]

MATH 225 - Modern Algebra I

Type of Course: Lecture

In the 19th century, Kummer introduced “ideal numbers” to salvage unique factorization of integers into primes (which breaks down in some rings of algebraic integers). This course discusses unique factorization and the modern theory of rings and their ideals, emphasizing Euclidean domains. Other algebraic structures (groups, fields) also are introduced. Required for all mathematics majors.

Prerequisites: MATH 130.