A Note on Generic Objects and Locally Finite Triangulated Categories

作者：Han, Zhe^*

来源：Applied Categorical Structures, 2016, 24(6): 875-884.

DOI：10.1007/s10485-015-9410-2

• Triangulated categories
• Generically trivial
• Locally finite
• Derived discrete algebras

For a finite dimensional algebra A, we prove that the homotopy category of injective A-modules is generically trivial if and only if the derived category of all A-modules is generically trivial. Moreover we show some connections between the generic objects, locally finiteness and Krull-Gabriel dimension.

• 出版日期2016-12
• 单位河南大学