Lectures related to Chinese Idempotent Constructions and Properties

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

Explores operations on ideals and structure theorems in commutative rings.

Explores Galois theory with a focus on Dedekind rings and their unique factorization of fractional ideals.

Explores congruence relations in rings, principal ideals, ring homomorphisms, and the characteristic of rings.

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

Discusses irreducible factors in rings and the properties of Noetherian rings.

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

Explores ideals with finite sets of points and Hilberts Nullstellensatz in algebraic fields.

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

Covers algebraic subsets of A^1 and ideals with a finite set of points.