论文标题
相对全球维度和稳定同型类别
Relative global dimensions and stable homotopy categories
论文作者
论文摘要
在本文中，我们研究了环形的全球戈伦斯坦交流学维度的有限，并回答了Becerril，Mendoza，Pérez和Santiago提出的问题。作为应用程序，我们表明任何左（或右）相干和左Gorenstein环都有一个投影和注入性稳定的同型类别，可改善Beligiannis的已知结果。
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.
