Lectures related to Hilberts Nullstellensatz and Ideals

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

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

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.

Introduces the definition and examples of A-modules, including sub-modules and ideals.

Explores the calculation of generators of ideals and their significance in mathematical operations.

Explores Chinese idempotent constructions and their properties, including ideals and product characterization.

Covers the completion of a field, focusing on algebraic closure and function convergence.

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.

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

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