Relative global dimensions and stable homotopy categories

Li Liang; Junpeng Wang

doi:10.5802/crmath.50

journal article Jul 10, 2020

Relative global dimensions and stable homotopy categories

Li Liang

Junpeng Wang

Comptes Rendus. Mathématique Vol. 358 No. 3 pp. 379-392 · MathDoc/Centre Mersenne

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Abstract

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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Published: Jul 10, 2020
Vol/Issue: 358(3)
Pages: 379-392

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Cite This Article

Li Liang, Junpeng Wang (2020). Relative global dimensions and stable homotopy categories. Comptes Rendus. Mathématique, 358(3), 379-392. https://doi.org/10.5802/crmath.50

Relative global dimensions and stable homotopy categories

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