Commutative Algebra II. 3 credits

Catalog description

Continuing the study of commutative Noetherian rings and their modules from Commutative Algebra I, this course is designed to cover the topics after which one could do research in commutative algebra and follow most talks at a standard conference or special session in the field. Topics include regular sequences, Cohen-Macaulay rings, Gorenstein rings, regular local rings, complete local rings, injective dimension, graded rings and modules, the Koszul complex, the canonical module, and local cohomology. Offered by Mathematics . May not be repeated for credit.