Abstract
In this paper,the authors introduce a new definition of oo-tilting(resp.cotilt-ing)subcategories with infinite projective dimensions(resp.injective dimensions)in an extriangulated category.They give a Bazzoni characterization of ∞-tilting(resp.cotilting)subcategories.Also,they obtain a partial Auslander-Reiten correspondence between ∞-tilting(resp.cotilting)subcategories and coresolving(resp.resolving)subcategories with an E-projective generator(resp.E-injective cogenerator)in an extriangulated category.
基金项目
国家自然科学基金(12101344)
国家自然科学基金(11371196)
Shan Dong Provincial Natural Science Foundation of China(ZR2015PA001)
维普
万方数据