We prove a generalization to the context of topological tilting modules of the fact that a tilting module is faithfully balanced and also a tilting module over its endomorphism ring. Some applications are given, notably the extension of Ext and Tor functors defined by topological tilting modules to the category of locally k-compact modules.
机构:
Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R ChinaUniv South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Zheng, Lijing
Huang, Chonghui
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Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R ChinaUniv South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Huang, Chonghui
Wan, Qianhong
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机构:
Hunan Univ Commerce, Sch Math & Stat, Changsha 410205, Hunan, Peoples R ChinaUniv South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
机构:
Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Jiangsu, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Jiangsu, Peoples R China