MATH 507 A: Algebraic Structures

First 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: MATH 506 or equivalent.