Zulip Chat Archive

Stream: Is there code for X?

Topic: Noether normalization


Yongle Hu (Sep 05 2024 at 01:43):

Hi! Is there a formalization of Noether normalization in Mathlib now? I have found Hilber Nullstellensatz MvPolynomial.vanishingIdeal_zeroLocus_eq_radical, but I found the proof of Hilber Nullstellensatz in Mathlib is not rely on Noether normalization, and I don't find any relative theorem of Nother normalization in Mahtlib.

Johan Commelin (Sep 05 2024 at 04:55):

I'm quite sure we don't have it. I would expect to find a match in the following results otherwise:

@loogle MvPolynomial, Module.Finite

Johan Commelin (Sep 05 2024 at 04:56):

@loogle MvPolynomial, Module.Finite

loogle (Sep 05 2024 at 04:56):

:search: LinearMap.polyCharpoly, LinearMap.polyCharpoly_monic, and 27 more

Johan Commelin (Sep 05 2024 at 04:56):

But none of the results look anything like Noether normalization


Last updated: May 02 2025 at 03:31 UTC