| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4597477 | Journal of Pure and Applied Algebra | 2010 | 11 Pages |
Abstract
Let be a triangulated category with a cluster tilting subcategory U. The quotient category is abelian; suppose that it has finite global dimension.We show that projection from to sends cluster tilting subcategories of to support tilting subcategories of , and that, in turn, support tilting subcategories of can be lifted uniquely to weak cluster tilting subcategories of .
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
