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arXiv · 2006.13558

Relative global dimensions and stable homotopy categories

Li Liang·Junpeng Wang
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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, P\'{e}rez 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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Li Liang, Junpeng Wang. 2020-06-24. Relative global dimensions and stable homotopy categories. https://arxiv.org/abs/2006.13558

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