Concept
Richard Dedekind
Related lectures (21)
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.
Macdonald identities
Delves into Macdonald identities, covering affine root systems, modular forms, and Lie algebras.
Dedekind Function: Analytic Continuation and Euler Product Formula
Covers the Dedekind function, Euler product formula, series convergence, and analytic continuation of logarithmic functions.
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.
Dedekind Rings: Integral Extensions and Noetherian Rings
Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.
Dedekind Rings: Factorisation and Ideal Class Group
Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.
Dedekind Rings and Fractional Ideals
Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
General Fields: Lorentz Representations
Covers the representation of Lorentz transformations through general fields and the consequences of symmetry.