The course will be an introduction to commutative algebra. It provides students with necessary algebraic tools to conduct research in a number of areas of modern mathematics. Topics include: Hom and tensor, localisation, primary decomposition, Jacobson rings and the Nullstellensatz, integral dependence, dimension theory, Artinian rings and Dedekind domains.

Antirequisite(s): Mathematics 4959A/B, if taken in 2020-21 or 2022-23.

Prerequisite(s): Mathematics 4123A/B.

Extra Information: 3 lecture hours.