Lectures related to Geometric Primary Decomposition

Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Explores affine algebraic varieties, emphasizing the Zariski Topology and regular functions.

Covers the concept of ideals in polynomial rings and their properties.

Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.

Discusses regular implicit functions, rings, ideals, sheaves, and ring operations.

Covers the concept of prime ideals and local rings, emphasizing their importance.

Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.

Explores tangent spaces in algebraic geometry, defining them as finite-dimensional subspaces of derivations on varieties.

Covers ideals, representations, modules, and maximal ideals in associative algebras.