Talk:Filtered algebra

Why do we have articles called Filtered algebra and Graded ring, but not Filtered ring or Graded algebra? We should probably talk about filtered and graded algebras over a commutative ring, which is the most general situation. All the basic theory works at that generality. John Baez (talk) 23:33, 27 December 2017 (UTC)

:Looks like they now exist, but are redirects to more general articles. 67.198.37.16 (talk) 18:56, 3 May 2025 (UTC)

Citation needed on isomorphism of the filtered algebra and its associated graded algebra. Here is an unsatisfactory one (the result is stated without proof): Edward Frenkel, Langlands Correspondence for Loop Groups, p. 381, (freely) available at [https://math.berkeley.edu/~frenkel/loop.pdf]186.210.1.4 (talk) 02:54, 6 September 2018 (UTC) (since no proof is given on the reference, I haven't edited the article page; also, I apologize if this formatting is improper)

Filtrations can be not only increasing but also decreasing (or $\backslash mathbb\; Z$-indexed, which includes both). Math MisterY (talk) 11:58, 10 November 2021 (UTC)

30px

The redirect [//en.wikipedia.org/w/index.php?title=Filtered_ring&redirect=no Filtered ring] has been listed at redirects for discussion to determine whether its use and function meets the redirect guidelines. Readers of this page are welcome to comment on this redirect at {{slink|Wikipedia:Redirects for discussion/Log/2024 March 26#Filtered ring}} until a consensus is reached. 1234qwer1234qwer4 17:52, 26 March 2024 (UTC)

:The result was a redirect to a subsection of the article on filtrations. But is should probably be a stand-alone article, in my opinion. See also John Baez comment above. 67.198.37.16 (talk) 19:01, 3 May 2025 (UTC)