Talk:Kaplansky's theorem on projective modules: Difference between revisions

Revision as of 08:24, 19 December 2019

Revision as of 09:37, 19 December 2019

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==Comments==

I have two comments: the proof of the theorem in the article currently does not highlight the point where the assumption that the ring is local is used. This could be improved. Secondly, [[WP:NOTTEXTBOOK|WP is not a textbook]], and this article is practically an excerpt of a textbook. I think the article would gain much from rather highlighting applications of the theorem and also from [[WP:WE|not addressing the reader directly]]. [[User:Jakob.scholbach|Jakob.scholbach]] ([[User talk:Jakob.scholbach|talk]]) 08:23, 19 December 2019 (UTC)

:The assumption on “local” is needed in the second lemma; I’m preparing the proof and so this should be fixed. As for a second point, on theorem articles, sometimes what is interesting is the proof (here, for instance the use of countably generated modules) rather than the applications. I personally don’t actually don’t know interesting applications since often one works with finitely generated projective modules. —— [[User:TakuyaMurata|Taku]] ([[User talk:TakuyaMurata|talk]]) 09:37, 19 December 2019 (UTC)