Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587762 | Journal of Algebra | 2008 | 9 Pages |
Abstract
We first prove that the idempotent completion of a right or left recollement of triangulated categories is still a right or left recollement, then show that the t-structure on a triangulated category is compatible with taking idempotent completion. Finally, an application of the main theorem is given, which is focused on the boundedness and nondegeneration of the t-structure induced by a recollement and its idempotent completion.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory