現代数学の系譜11 ガロア理論を読む15 [転載禁止]©5ch.io
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0104現代数学の系譜11 ガロア理論を読む
2015/08/22(土) 23:47:27.84ID:Bz9HH34r英訳があるんだ・・(下記)
https://en.wikipedia.org/wiki/Grothendieck's_T%C3%B4hoku_paper
Later developments
After the Gabriel?Popescu theorem of 1964, it was known that every Grothendieck category is a quotient category of a module category.[11]
The Tohoku paper also introduced the Grothendieck spectral sequence associated to the composition of derived functors.[12]
In further reconsideration of the foundations of homological algebra, Grothendieck introduced and developed with Jean-Louis Verdier the derived category concept.[13]
The initial motivation, as announced by Grothendieck at the 1958 International Congress of Mathematicians, was to formulate results on coherent duality, now going under the name "Grothendieck duality".[14]
Notes
Grothendieck, A. (1957), "Sur quelques points d’algebre homologique", Tohoku Mathematical Journal, (2) 9: 119?221, doi:10.2748/tmj/1178244839, MR 0102537. English translation. http://www.math.mcgill.ca/barr/papers/gk.pdf
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