Galois Theory: Dedekind Rings

Related lectures (32)

Page 3 of 4

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Explores Frobenius theorems in number theory, ideal class groups, norm properties, and geometry of numbers.

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

Explores the Galois theory of Qp, covering algebraic extensions, inertia groups, and cyclic properties.

Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.

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

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

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

Covers the Dedekind function, Euler product formula, series convergence, and analytic continuation of logarithmic functions.

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