Lecture
Galois Theory: Dedekind Rings
Related lectures (74)
Dedekind Rings: Theory and Applications
Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.
Galois Theory: The Galois Correspondence
Explores the Galois correspondence and solvability by radicals in polynomial equations.
Galois Theory: Solvability and Radical Extensions
Explores solvability by radicals in Galois theory and the Galois/Abel criterion for solvability.
Algebraic Geometry: Localization and Prime Ideals
Explores prime ideals and localization in algebraic geometry, highlighting their significance in ring structures.
Rings and Fields: Principal Ideals and Ring Homomorphisms
Covers principal ideals, ring homomorphisms, and more in commutative rings and fields.
Dimension Theory of Rings
Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.
Integral Domains: Factorisation and Noetherian Rings
Explores factorisation in Principal Ideal Domains and Noetherian rings, emphasizing the integral closure concept and the factorisation of ideals in Dedekind rings.
Dimension theory of rings
Covers the dimension theory of rings, including additivity of dimension and height, Krull's Hauptidealsatz, and the height of general complete intersections.
Bar Construction: Homology Groups and Classifying Space
Covers the bar construction method, homology groups, classifying space, and the Hopf formula.
Weyl character formula
Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.