Artinian rings with Morita duality

Artinian rings with Morita duality

导出

摘要 Two theorems are established which properly extend the class of artinian rings with Morita duality. A question of Anh about QF rings is answered in the negative. Two theorems are established which properly extend the ckss of artinian rings with Morita duality. A question of Anh about QF-rings is answered in the negative.

作者薛卫民

出处《Science China Mathematics》 SCIE 1998年第12期1233-1240,共8页 中国科学：数学（英文版）

基金 ProjectsupportedbytheNationalNaturalScienceFoundationofChina (GrantNo .197710 16 ) .

关键词 MORITA DUALITY SELF DUALITY EXACT bimodule. Morlta duality sell-duality exact bimodale

分类号 O153 [理学—基础数学]

引文网络
相关文献

参考文献13

1Anderson F W,Fuller K R.Rings and Categories of Modules, 2nd Ed. . 1992
2Azumaya,G.Exact and serial rings, J. Journal of Algebra . 1983
3Cohn,P. M.On a class of binomial extensions, Illinois J. Mathematica Journal . 1966
4Xue Weimin,Morita duality and artinian left duo rings,Bull.Austral. Mathematical Social Sciences . 1989
5Xue Weimin,On Morita duality,Bull.Austral. Mathematical Social Sciences . 1994
6Ramamurthi,V. S,Rangaswamy,K. M.On finitely injective modules, J. Australian Mathematical Society Gazette . 1973
7Simson,D.Right pure semisimple hereditary rings, Lect. Notes Math . 1980
8XueWeimin,Anoteonthreeartinianrings,Comm. Journal of Algebra . 1990
9Hill,D. A.Left serial rings and their factor skew fields, J. Journal of Algebra . 1992
10Jacobson,N.StructureofRings. Amer.Math.Soc.Colloq.Publication . 1984

1董珺,魏杰.QF的刻划(英文)[J].兰州工业高等专科学校学报,2007,14(3):1-3.
2严绍宗,陈晓漫,徐胜芝.Submodules of the groupoid C~*-algebra[J].Science China Mathematics,1998,41(4):379-385.
3刘志军,戴建宇,王加宾.关于单Artinian环上长方矩阵的保粘切的映射[J].湖南文理学院学报（自然科学版）,2011,23(3):21-23.
4JIANG QiFen,JIAO XiangYu.Bimodule and twisted representation of vertex operator algebras[J].Science China Mathematics,2016,59(2):397-410.
5LIU Zhong Kui Department of Mathematics.Northwest Normal University.Lanzhou 730070.P.R.China E-mail.liuzk@numu.edu.cn.Morita Duality for the Rings of Generalized Power Series[J].Acta Mathematica Sinica,English Series,2002,18(2):245-252. 被引量：4
6ZhiXiangWU.Rings Whose Modules Have Grade Zero[J].Acta Mathematica Sinica,English Series,2005,21(2):249-260.
7JIANG Wei,JIANG CuiBo.Bimodules associated to vertex operator superalgebras[J].Science China Mathematics,2008,51(9):1705-1725. 被引量：1
8Cheng-jun HOU~(1+) Ben-yin FU~2 1 School of Mathematical Sciences,Qufu Normal University,Qufu 273165,China,2 School of Mathematical Sciences,Fudan University,Shanghai 200433,China.Local 3-cocycles of von Neumann algebras[J].Science China Mathematics,2007,50(9):1240-1250.
9黄兆泳.Selforthogonal modules with finite injective dimension[J].Science China Mathematics,2000,43(11):1174-1181. 被引量：10
10K.R.Fuller,薛卫民.ON DISTRIBUTIVE MODULES AND LOCALLY DISTRIBUTIVE RINGS[J].Chinese Annals of Mathematics,Series B,1991,12(1):26-32.

Science China Mathematics

1998年第12期

浏览历史

内容加载中请稍等...

Artinian rings with Morita duality

参考文献13

相关作者

相关机构

相关主题

浏览历史