As a non-trivial generalization of quasi-resolving subcategories,the notion of Ext-quasi-resolving subcategories of an abelian category is introduced.Moreover,we give a general example,which is not a quasi-resolving s...As a non-trivial generalization of quasi-resolving subcategories,the notion of Ext-quasi-resolving subcategories of an abelian category is introduced.Moreover,we give a general example,which is not a quasi-resolving subcategory,and the homological theory of Ext-quasi-resolving subcategories is studied.In particular,we generalize many results on the resolving subcategories.展开更多
基金Supported by the Natural Science Foundation of Universities of Anhui(2023AH050950,2023AH050904)the Top Talent Project of AHPU in 2020(S022021055)+2 种基金the National Natural Science Foundation of China(11801004,12101003,12301042)the Natural Science Foundation of Anhui Province(2108085QA07)the Startup Foundation for Introducing Talent of AHPU(2020YQQ067,2022YQQ097).
文摘As a non-trivial generalization of quasi-resolving subcategories,the notion of Ext-quasi-resolving subcategories of an abelian category is introduced.Moreover,we give a general example,which is not a quasi-resolving subcategory,and the homological theory of Ext-quasi-resolving subcategories is studied.In particular,we generalize many results on the resolving subcategories.
