— Algebra

Prerequisites & course information

This version has ended; see updated course, below. Course Description: Group and rings. Sylow theorems, abelian groups, Jordan-Holder theorem. Rings, unique factorization. Algebras, and modules. Fields and vector spaces over fields. Field extensions. Commutative rings. Representation theory and its applications. Learning Activities: Lecture 3 hour(s), Term Paper/Discussion 1 hour(s). Grade Mode: Letter. MAT 250A — Algebra (4 units) Course Description: Group and rings. Sylow theorems, abelian groups, Jordan-Holder theorem. Rings, unique factorization. Algebras, and modules. Fields and vector spaces over fields. Field extensions. Commutative rings. Representation theory and its applications. Prerequisite(s): Graduate standing in mathematics or consent of instructor. Learning Activities: Lecture 3 hour(s), Term Paper/Discussion 1 hour(s). Enrollment Restriction(s): Open to graduate students; open to undergraduate students with consent of instructor. Grade Mode: Letter. This course version is effective from, and including: Winter Quarter 2027. Learning Activities: Lecture 3 hour(s), Term Paper/Discussion 1 hour(s). Grade Mode: Letter. MAT 250A — Algebra (4 units) Course Description: Group and rings. Sylow theorems, abelian groups, Jordan-Holder theorem. Rings, unique factorization. Algebras, and modules. Fields and vector spaces over fields. Field extensions. Commutative rings. Representation theory and its applications. Prerequisite(s): Graduate standing in mathematics or consent of instructor. Learning Activities: Lecture 3 hour(s), Term Paper/Discussion 1 hour(s). Enrollment Restriction(s): Open to graduate students; open to undergraduate students with consent of instructor. Grade Mode: Letter. This course version is effective from, and including: Winter Quarter 2027.