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Galois Theory: Dedekind Rings
Explores Galois theory with a focus on Dedekind rings and their unique factorization of fractional ideals.
Frobenius Theorems in Number Theory
Explores Frobenius theorems in number theory, ideal class groups, norm properties, and geometry of numbers.
Ramification Theory: Dedekind Recipe
Explores ramification theory, residue fields, Galois extensions, and decomposition groups in algebraic number theory.
Localization and Ideals
Covers the concept of localization and ideals in rings, focusing on extended and contracted ideals, integral extensions, and monic equations.
Ramification Theory: Residual Fields and Discriminant Ideal
Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.