Lectures related to Logarithmic Embedding in Number Fields

Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.

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

Covers the classical Lie algebras, focusing on calculations and dimensions.

Explores the Chinese Remainder Theorem for Euclidean domains and the properties of commutative rings and fields.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.

Explores the properties of Euclidean domains, including gcd, lcm, and the Chinese remainder theorem for polynomial rings.

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

Covers the properties of the ring of Eisenstein integers and its submodule structure.