In [5], Miyashita introduced tilting modules of nite projective dimension. A tilting module AV of projective dimension less or equal than r furnishes r + 1 equivalences between subcategories of A-Mod and End V -Mod: we call static and costatic the modules in A-Mod and End V -Mod, respectively, involved in these equivalences. In this paper we characterize the modules in A-Mod and End V -Mod which have a ltration with static and costatic factors, respectively.
Tilting Modules of Finite Projective Dimension: Sequentially Static and Costatic Modules
TONOLO, ALBERTO
2002
Abstract
In [5], Miyashita introduced tilting modules of nite projective dimension. A tilting module AV of projective dimension less or equal than r furnishes r + 1 equivalences between subcategories of A-Mod and End V -Mod: we call static and costatic the modules in A-Mod and End V -Mod, respectively, involved in these equivalences. In this paper we characterize the modules in A-Mod and End V -Mod which have a ltration with static and costatic factors, respectively.
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