Timeline for Why N-1 and N-2 rings are called like that?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Aug 14 at 15:16 | comment | added | Dat Minh Ha | @ElíasGuisadoVillalgordo 日本 is also sometimes read as "nippon", usually by older people or in formal contexts, as far as I'm aware. | |
| Jan 17 at 10:44 | comment | added | Elías Guisado Villalgordo | @DatMinhHa Maybe (in French it is 'Nippon'). | |
| Jan 16 at 19:58 | comment | added | Dat Minh Ha | N = Nihon (romanisation of 日本, Japan in Japanese) perhaps ? | |
| Aug 29, 2023 at 16:01 | comment | added | Elías Guisado Villalgordo | Although the hypothesis that N comes from Nagata sounds like a good hypothesis, it's still a hypothesis. To verify it, I guess we would need to see the account of some mathematician or an explicit discussion on this regard on the literature (or some other historiographical proof). For example, some of us may have heard in the past the story that the '$\mathcal{O}$' notation for the structure sheaf of a ringed space was chosen 'in honor of Oka.' But apparently this explanation is not the true story. | |
| Aug 29, 2023 at 15:11 | comment | added | Ben McKay | It would be clearer if subscripts were used instead of hyphens. | |
| Aug 29, 2023 at 13:33 | comment | added | LSpice | @Gro-Tsen, re, in fact, since, as you point out, this is directly from Stacks Tag 032F, we can see there that, as in the quote, the original had not only a hyphen in place of a minus, but an italic N in place of a math-mode $N$. Since it's probably safe to assume that de Jong would have written $N - 1$ if that's what was meant, I think there is strong evidence that at least de Jong interprets it as you do. | |
| Aug 29, 2023 at 13:18 | history | edited | Elías Guisado Villalgordo | CC BY-SA 4.0 |
More precision
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| Aug 29, 2023 at 11:16 | comment | added | Gro-Tsen | The term “Japanese ring” (resp. “universally Japanese ring”) for N-1 and N-2 was introduced by Grothendieck (im honor of Nagata but also Akizuki at least). My guess is that N stands for “Nagata” and the dash is a hyphen not a minus sign. You should mention that your quote is from the Stacks project. | |
| Aug 29, 2023 at 10:42 | history | asked | Elías Guisado Villalgordo | CC BY-SA 4.0 |