Auslander-Reiten theory on the homotopy category of projective modules

作者：Le, Jue^*

来源：Journal of Pure and Applied Algebra, 2009, 213(7): 1430-1437.

DOI：10.1016/j.jpaa.2008.12.011

An Auslander-Reiten formula in the homotopy category of complexes of projective modules is presented. This formula guarantees the explicit description of Auslander-Reiten triangles in the homotopy category. Furthermore, almost split sequences in a module category can be deduced from these Auslander-Reiten triangles.

• 出版日期2009-7
• 单位上海交通大学