Generalized Tilting Modules With Finite Injective Dimension Huang Zhaoyong * # Nanjing University *Correspondence author #Submitted by Subject: Ring Theory Funding: 教育部博士点基金（No.20030284033） Opened online:28 February 2006 Accepted by: none Citation: Huang Zhaoyong.Generalized Tilting Modules With Finite Injective Dimension[OL]. [28 February 2006] http://www.paper.edu.cn/lwzx/en_releasepaper/content/5432

 Let $R$ be a left noetherian ring, $S$ a right noetherian ring and $_RU$ a generalized tilting module with $S={\rm End}(_RU)$. The injective dimensions of $_RU$ and $U_S$ are identical provided both of them are finite. Under the assumption that the injective dimensions of $_RU$ and $U_S$ are finite, that the subcategory $\{ {\rm Ext}_S^n(N, U)|N$ is a finitely generated right $S$-module$\}$ is submodule closed is characterized equivalently. From which, a negative answer to a question posed by Auslander in 1969 is given. Finally, some partial answers to Wakamatsu Tilting Conjecture are given. Keywords:generalized tilting modules, injective dimension, $U$-limit dimension, submodule closed, Wakamatsu Tilting Conjecture

 1 本文整体不错，语言精练，研究方案合理，但是英文摘要和正文都有语法问题。
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