Mathematics 250A Algebra
Fall, 2020 tuth 8:10-9:30am online university.
Group theory, including the Jordan-Hölder theorem and the Sylow theorems. Basic theory of rings and their ideals. Unique factorization domains and principal ideal domains. Modules. Chain conditions. Fields, including fundamental theorem of Galois theory, theory of finite fields, and transcendence degree.
Graduate Student Instructor
Examinations, very approximate class schedule, practice and old exams, random links.
Studies in algebra and group theory (113627).
2023 Fall (4 Credits)
Schedule: MWF 10:30 AM - 11:45 AM
Instructor Permission: Instructor
Enrollment Cap: n/a
A rigorous introduction to abstract algebra, including group theory and linear algebra. This course covers the equivalent of Mathematics 25a and Mathematics 122, and prepares students for Mathematics 123 and other advanced courses in number theory and algebra. (A course in analysis such as Mathematics 25b or 55b is recommended for Spring semester.)