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The socle of the last term in a minimal injective resolution
《Science China Mathematics》2010年第7期1714-1720,共7页Huang ZhaoYong Wang Yao 
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)
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 ...
关键词：generalized tilting MODULES (quasi) k-Gorenstein MODULES SOCLE MINIMAL INJECTIVE RESOLUTION INJECTIVE dimension 
On F-Almost Split Sequences
《Acta Mathematica Sinica,English Series》2010年第6期1149-1164,共16页Xiao Jin ZHANG Zhao Yong HUANG 
Partially 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);National Natural Science Foundation of Jiangsu Province of China (Grant No. BK2007517)
Let A be an Artinian algebra and F an additive subbifunctor of Ext,（-, -） having enough projectives and injectives. We prove that the dualizing subvarieties of mod A closed under F-extensions have F-almost split seq...
关键词：F-almost split sequences almost split sequences F-Gorenstein algebras 
极小内射分解最后项的基座
《中国科学（A辑）》2009年第12期1373-1380,共8页黄兆泳 王尧 
教育部博士点基金(批准号:20060284002);国家自然科学基金(批准号:10771095);江苏省自然科学基金(批准号:BK2007517)资助项目
设Λ和Γ均是左、右Noether环,ΛU是一个广义倾斜模且Γ=End(ΛU).对非负整数k,如果ΛU是(k?2)-Gorenstein的且ΛU和UΓ的内射维数均是k,则ΛU的极小内射分解最后项的基座是非零的.
关键词：广义倾斜模 (拟)k-Gorenstein模 基座 极小内射分解 内射维数 
Gorenstein环上的Gorenstein平坦和内射被引量：1
《中国科学（A辑）》2008年第4期361-364,共4页宋伟灵 黄兆泳 
教育部博士点基金(批准号:20060284002);国家自然科学基金(批准号:10771095);江苏省自然科学基金(批准号:BK2007517)资助项目
设R是一个Gorenstein环.证明了,如果I是R的一个理想且使得R/I是一个半单环,则R/I作为右R-模的Gorenstein平坦维数与R/I作为左R-模的Gorenstein内射维数是相等的.另外证明了,如果→S是一个环同态且_sE是左S-模范畴的一个内射余生成元,则...
关键词：Gorenstein平坦 Gorenstein内射 Gorenstein环 
Gorenstein flatness and injectivity over Gorenstein rings被引量：2
《Science China Mathematics》2008年第2期215-218,共4页SONG WeiLing HUANG ZhaoYong 
the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.20060284002);the National Natural Science Foundation of China (Grant No.10771095);the Natural Science Foundation of Jiangsu Province of China (Grant No.BK2007517)
Let R be a Gorenstein ring.We prove that if I is an ideal of R such that R/I is a semi-simple ring,then the Gorenstein flat dimension of R/I as a right R-module and the Gorenstein injective dimension of R/I as a left ...
关键词：Gorenstein flat Gorenstein injective Gorenstein rings 16E10 16E30 
k-Gorenstein Modules被引量：2
《Acta Mathematica Sinica,English Series》2007年第8期1463-1474,共12页Zhao Yong HUANG 
Research partially supported by Specialized Research Fund for the Doctoral Program of Higher Education(Grant No.20030284033,20060284002);NSF of Jiangsu Province of China(Grant No.BK2005207)
Let A and F be artin algebras and ∧UГa paper, we first introduce the notion of k-Gorenstein faithfully balanced selforthogonal bimodule. In this modules with respect to ∧UГ and then characterize it in terms of the...
关键词：κ-Gorenstein modules grade of modules injective dimension 
On generalized k-syzygy modules被引量：2
《Science China Mathematics》2007年第5期675-682,共8页Chong-hui HUANG & Zhao-yong HUANG Department of Mathematics, Nanjing University, Nanjing 210093, China College of Mathematics and Physics, Nanhua University, Hengyang 421001, China 
the Specialized Research Fund for the Doctoral Program of Higher Education (Grant Nos. 20030284033, 20060284002);the Natural Science Foundation of Jiangsu Province of China (Grant No. BK2005207)
In this paper, we first introduce the notion of generalized k-syzygy modules, and then give an equivalent characterization that the class of generalized k-syzygy modules coincides with that ofω-k-torsionfree modules....
关键词：GENERALIZED k-syzygy MODULE ω-k-torsionfree MODULE EXTENSION CLOSURE 
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