Zulip Chat Archive

Stream: maths

Topic: Gauss Lemma and Eisenstein's Criterion


view this post on Zulip Aditya Agarwal (Nov 13 2018 at 00:02):

Is anyone working on Gauss Lemma and Eisenstein's Criterion or are they present in mathlib?

view this post on Zulip Kenny Lau (Nov 13 2018 at 00:02):

@Chris Hughes What do you think

view this post on Zulip Kevin Buzzard (Nov 13 2018 at 00:06):

I believe general UFDs are in mathlib nowadays, so anyone who implements them should probably do it in this generality.

view this post on Zulip Kevin Buzzard (Nov 13 2018 at 00:08):

although I guess Rob Lewis proved all the stuff about valuations for the integers when defining the p-adic numbers, and it might even be the case that the basic theory of valuations for a general UFD is not done (athough it might be a fairly simple port from Rob's work on Z)

view this post on Zulip Johan Commelin (Nov 13 2018 at 08:12):

@Aditya Agarwal Cool, I'm currently writing exercise sheets for 2nd year students who have to practice with Gauss Lemma and Eisenstein. It would be awesome if that lands in mathlib!

view this post on Zulip Kevin Buzzard (Nov 13 2018 at 08:16):

https://github.com/leanprover/mathlib/blob/master/data/padics/padic_norm.lean The first 370 or so lines of that file are the basics of the p-adic valuation on the integers and rationals. That should all be ported to a general UFD really, if one is to do this properly. One needs it in the proofs of such things as R a UFD -> R[X] a UFD.


Last updated: May 11 2021 at 15:12 UTC