Rings 18 Hilberts theorems @richarde.borcherds7998
Rings 18 Hilberts theorems  @richarde.borcherds7998
Uploaded October 2021 | Updated September 2026, 2 weeks ago
This lecture is part of an online course on rings and modules.

We prove Hilbert's theorem that poynomial rings over fields are Noetherian, and use this to prove Hilbert's theorem about finite generation of algebras of invariants, at least for finite groups over the complex numbers.

For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj52XDLrmvrFDgwcf6XOm2TEE
Rings 18 Hilberts theoremsLie groups: Lie groups and Lie algebrasTheory of numbers: Dirichlet seriesMordell-Weil theoremComplex analysis: Zeta function functional equationIntroduction to number theory lecture 49. Dirichlets theoremGalois theory: Main theoremTheory of numbers: Congruences: Chinese remainder theoremModular forms: IntroductionModular forms: Fourier coefficients of Eisenstein seriesIntroduction to number theory lecture 10. Fermats theoremRings and modules 4  Unique factorization
Richard E Borcherds |

Rings 18 Hilbert's theorems

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