Commutative Algebra

The 13 entry of the 2020 Mathematics Subject Classification covers commutative algebra, the study of commutative rings, their ideals, modules and algebraic structures such as fields, localizations and completions, and the homological, homotopical and geometric techniques applied to them. It includes topics like Noetherian and Artinian rings, dimension theory, integral extensions, and connections with algebraic geometry and number theory.