The socle of the last term in a minimal injective resolution  

作　　者：Huang ZhaoYong Wang Yao 

机构地区：[1]Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China [2]Nanjing Univ Informat Sci & Technol, Coll Math & Phys, Nanjing 210044, Peoples R China

出　　处：《Science China Mathematics》2010年第7期1714-1720,共7页中国科学：数学（英文版）

基　　金：supported by the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20060284002);National Natural Science Foundation of China (Grant No. 10771095);Natural Science Foundation of Jiangsu Province of China (Grant No. BK2007517)

摘　　要：Let Λ and Γ be left and right Noetherian rings and Λ U a generalized tilting module with Γ = End( Λ U ). For a non-negative integer k, if Λ U is (k - 2)-Gorenstein with the injective dimensions of Λ U and U Γ being k, then the socle of the last term in a minimal injective resolution of Λ U is non-zero.Let Λ and Γ be left and right Noetherian rings and Λ U a generalized tilting module with Γ = End( Λ U ). For a non-negative integer k, if Λ U is (k - 2)-Gorenstein with the injective dimensions of Λ U and U Γ being k, then the socle of the last term in a minimal injective resolution of Λ U is non-zero.

关 键 词：generalized tilting MODULES (quasi) k-Gorenstein MODULES SOCLE MINIMAL INJECTIVE RESOLUTION INJECTIVE dimension 

分 类 号：N[自然科学总论]