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Relative global dimensions and stable homotopy categories
Comptes Rendus. Mathématique, Volume 358 (2020) no. 3, pp. 379-392.

In this paper we study the finiteness of global Gorenstein AC-homological dimensions for rings, and answer the questions posed by Becerril, Mendoza, Pérez and Santiago. As an application, we show that any left (or right) coherent and left Gorenstein ring has a projective and injective stable homotopy category, which improves the known result by Beligiannis.

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DOI : 10.5802/crmath.50
Classification : 18G25, 18G20

Li Liang 1 ; Junpeng Wang 2

1 School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China
2 College of Economics, Northwest Normal University, Lanzhou 730070, China
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     title = {Relative global dimensions and stable homotopy categories},
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     pages = {379--392},
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     year = {2020},
     doi = {10.5802/crmath.50},
     language = {en},
}
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Li Liang; Junpeng Wang. Relative global dimensions and stable homotopy categories. Comptes Rendus. Mathématique, Volume 358 (2020) no. 3, pp. 379-392. doi : 10.5802/crmath.50. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.50/

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