MATH 392 - Topics in Abstract Algebra

Credits: 3

Prerequisite: MATH 321. Topics vary but can include field and Galois theory, geometric and combinatorial group theory, representation theory, number theory, algebraic number theory, commutative algebra, algebraic geometry, arithmetic geometry, advanced linear algebra, algebraic coding theory and cryptography, algebraic topology, homological algebra, and graph theory, May be repeated for degree credit if the topic is different.

Winter 2020, Math 392A-01: Topic in Abstract Algebra (3). Prerequisite: MATH 321. Rings, including ideals, quotient rings, polynomial rings, and domains. Field of quotients of a domain and enough field theory to prove the impossibility of several classical constructions. Dymàček.