INJECTIVE

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相关作者：卜月华陈建龙杜先能佟文廷叶飘飘更多>>
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Injective Cogenerators,Cotilting Modules and Cosilting Modules
《Acta Mathematica Sinica,English Series》2023年第9期1684-1700,共17页Li Xin Mao 
Supported by NSFC(Grant Nos.12171230,12271249);NSF of Jiangsu Province of China(Grant No.BK20211358)。
It is well known that the concept of cotilting modules generalizes injective cogenerators and in turn,the concept of cosilting modules generalizes cotilting modules.In this paper,we further investigate the close conne...
关键词：Injective cogenerator cotilting module cosilting module morphism category 
Prüfer Sheaves and Generic Sheaves Over the Weighted Projective Lines and Elliptic Curves
《Acta Mathematica Sinica,English Series》2017年第5期705-724,共20页Jian Min CHEN Jin Jing CHEN Ya Nan LIN 
Supported by National Nature Science Foundation of China(Grant Nos.11571286,11471269);the Natural Science Foundation of Fujian Province of China(Grant No.2016J01031);the Fundamental Research Funds for the Central Universities of China(Grant No.20720150006)
In the present paper, we introduce the concepts of Prüfer sheaves and adic sheaves over a weighted projective line of genus one or an elliptic curve, show that Prüfer sheaves and adic sheaves can characterize the ca...
关键词：Weighted projective line elliptic curve quasi-coherent sheaf pure-injective object 
Some Remarks on Projective Generators and Injective Cogenerators被引量：12
《Acta Mathematica Sinica,English Series》2014年第12期2063-2078,共16页Li LIANG Nan Qing DING Gang YANG 
Supported by National Natural Science Foundation of China(Grant Nos.11301240,11371187 and 11101197);the Young Scholars Science Foundation of Lanzhou Jiaotong University(Grant No.2012020)
In this paper,we give a relationship between projective generators（resp.,injective cogenerators） in the category of R-modules and the counterparts in the category of complexes of R-modules.As a consequence,we get th...
关键词：W-Gorenstein modules Gorenstein projective complexes Gorenstein injective complexes projective generators injective cogenerators 
A Weak* Similarity Degree Characterization for Injective von Neumann Algebras
《Acta Mathematica Sinica,English Series》2014年第10期1689-1697,共9页Zhe DONG Ya Fei ZHAO 
Supported by the Zhejiang Qianjiang Talent Program in 2008;the Program for New Century Excellent Talents in University of Ministry of Education of China in 2010;the National Natural Science Foundation of China(Grant No.11271321);the Fundamental Research Funds of Zhejiang University
In this note, we show that avon Neumann algebra M is injective if and only if the weak＊ similarity degree d.（M） ≤ 2.
关键词：Weak＊ similarity degree injective von Neumann algebra operator space 
On Universally Left-stability of ε-Isometry被引量：6
《Acta Mathematica Sinica,English Series》2013年第11期2037-2046,共10页Ling Xin BAO Li Xin CHENG Qing Jin CHENG Duan Xu DAI 
Supported by National Natural Science Foundation of China(Grant Nos.11071201 and 11001231)
Let X, Y be two real Banach spaces and ε≥0. A map f ： X → Y is said to be a standard ε-isometry if│││f/（x） - f（y）││ - ]ix - Y││x-y││ ε for all x,y C X and with f（O） = O. We say that a pair of Ban...
关键词：ε-Isometry linear isometry stability injective space Banach space 
Some Homological Characterizations of Semigroups and Semirings
《Acta Mathematica Sinica,English Series》2011年第10期2065-2072,共8页Javed AHSAN Zhong Kui LIU Muhammad SHABIR 
The second author is supported by National Natural Science Foundation of China （Grant No. 10961021） and the Cultivation Fund of the Key Scientific and Technical Innovation Project, Ministry of Education of China Acknowledgements The authors wish to express their sincere thanks to the referees for their valuable suggestions.
In this paper we characterize semirings all of whose p-injective semimodules are injective. We also classify monoids all of whose p-injective acts are injective.
关键词：P-injective semimodule injective semimodule p-injective act injective act 
Some Properties of the Injective Tensor Product of Banach Spaces
《Acta Mathematica Sinica,English Series》2007年第9期1697-1706,共10页Xiao Ping XUE Yong Jin LI Qing Ying BU(Qingying BU) 
the National Natural Science Foundation of China,Grant No.10571035
Let X and Y be Banach spaces such that X has an unconditional basis. Then X Y, the injective tensor product of X and Y, has the Radon-Nikodym property （respectively, the analytic Radon-Nikodym property, the near Rad...
关键词：tensor products types of Radon-Nikodym properties Schauder decomposition 
Injective Homogeneity and Homological Homogeneity of the Ore Extensions
《Acta Mathematica Sinica,English Series》1997年第4期433-442,共10页Yi Zhong Department of Mathematics, Guangxi Teachers University, Guilin 541004. China 
In this paper we prove that under some natural conditions, the Ore extensions and skew Laurent polynomial rings are injectively homogeneous or homologically homogeneous if so are their coefficient rings. Specifically,...
关键词：Injectively homogeneous ring Homologically homogeneous ring Ore extension Quotient ring 
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