Zulip Chat Archive

Stream: Is there code for X?

Topic: Localization of ordered integral domains


Apurva Nakade (Jan 24 2022 at 20:07):

Are there any results in the library saying that the localization of an ordered integral domain naturally gets an induced ordered integral domain structure?

Apurva Nakade (Jan 24 2022 at 20:10):

I did a Ctrl+F for "order" in ring_theory.localization and only found docs#is_localization.order_embedding

Anne Baanen (Jan 24 2022 at 23:06):

I don't think we have it: It didn't exist last time I touched localizations, and I don't think it got added after either.

Apurva Nakade (Jan 25 2022 at 00:12):

Would it be worth adding?
I need an order structure on Z localized away from 2. I can either prove it in full generality or just do the special case I need.

Apurva Nakade (Jan 25 2022 at 00:19):

I also ran into this: docs#normed_ring It might be easier to prove results about localization of normed_ring

Anne Baanen (Jan 25 2022 at 10:25):

If it helps your formalization, it's definitely worth adding!


Last updated: Dec 20 2023 at 11:08 UTC