MATH 6310
Algebra
MATH 6310-MATH 6320 are the core algebra courses in the mathematics graduate program. MATH 6310 covers group theory, especially finite groups; rings and modules; ideal theory in commutative rings; arithmetic and factorization in principal ideal domains and unique factorization domains; introduction to field theory; tensor products and multilinear algebra. (Optional topic: introduction to affine algebraic geometry.)
fall 2026
Readings
- Lang, Serge, Algebra, 3rd edition (revised) , Springer, 2002 (ISBN: 0-387-95385-X) – free e-book through the Cornell Math Library
- Aluffi, Paolo, Algebra: Chapter 0 , American Mathematical Society, 2009 (ISBN: 978-0-89218-4781-7) — free e-book through the Cornell Math Library
Prerequisites & course information
background equivalent to: MATH 4340 with a minimum grade of A-.