MATH 509
Algebraic Structures
Third quarter of a three-quarter sequence covering homological algebra, advanced commutative algebra, and Lie algebras and representation theory. Specific topics include chain complexes, resolutions and derived functors, dimension theory, Cohen-Macaulay modules, Gorenstein rings, local cohomology, local duality, triangulated and derived categories, group cohomology, and structure and representation. Prerequisite: a minimum grade of 3.5 in MATH 506.
Topics
- chain complexes
- resolutions and derived functors
- dimension theory
- Cohen-Macaulay modules
- Gorenstein rings
- local cohomology
- local duality
- triangulated and derived categories
- group cohomology
- and structure and representation
Topics explicitly listed in official catalogue description
Sources
- Course catalogue ↗Current public catalogue; retrieved 2026-11-05