A Smashing Subcategory of the Homotopy Category of Gorenstein Projective Modules

作者：Gao, Nan^*

来源：Applied Categorical Structures, 2015, 23(1): 87-91.

DOI：10.1007/s10485-013-9325-8

• Gorenstein projective modules
• Compactly generated homotopy categories
• Smashing subcategory
• Recollements

Let A be an artin algebra of finite CM-type. In this paper, we show that if A is virtually Gorenstein, then the homotopy category of Gorenstein projective modules, denote , is always compactly generated. Based on this result, it will be proved that the homotopy category of projective modules, denote , is a smashing subcategory of and the corresponding Verdier quotient is also compactly generated. Furthermore, it turns out that the inclusion functor induces a recollement of .

• 出版日期2015-2
• 单位上海大学