期刊文献+

关于弱d-Koszul模的一个注记

A note on weakly d-Koszul modules
下载PDF
导出
摘要 研究了弱d-Koszul模范畴保持满同态核的条件,运用同调代数的相关知识,得到了一个充分条件:若对任意的ik,≥0J,kΩi(K)=Ωi(K)∩JkΩi(M),则弱d-Koszul模范畴在满同态的核下是封闭的. It was studied the conditions for the category of weakly d-Koszul modules to be closed under kernels of epimorphisms.By using some related knowledge of homological algebra,a sufficient condition was obtained: supposed J^kΩ^i(K)=Ω^i(K)∩J^kΩ^i(M) for any i,k≥0,then the category of weakly d-Koszul modules would be closed under kernels of epimorphisms.
作者 陈沛森
出处 《浙江师范大学学报(自然科学版)》 CAS 2011年第1期31-34,共4页 Journal of Zhejiang Normal University:Natural Sciences
关键词 d-Koszul代数 d-Koszul模 弱d-Koszul模 d-Koszul algebras d-Koszul modules weakly d-Koszul modules kernels
  • 相关文献

参考文献5

  • 1Priddy S.Koszul resolutions[J].Trans Amer Math Soc,1970,152(1):39-60.
  • 2Berger R.Koszulity for nonquadratic algebras[J].J Alg,2001,239(3):705-734.
  • 3Green E L,Marcos E,Marínez-Villa R,et al.d-Koszul algebras[J].J Pure Appl Alg,2004,193(1):141-162.
  • 4Martínez-Villa R,Zacharia D.Approximations with modules having linear resolutions[J].J Alg,2003,266(2):671-697.
  • 5吕家凤,何济位,卢涤明.具有d-Koszul子模滤的分次模[J].数学年刊(A辑),2007,28(2):231-238. 被引量:4

二级参考文献11

  • 1Weible C.A.,An introduction to homological algebra[M]// Cambridge Studies in Avanced Mathematics,Vol.38,Cambridge Univ.Press,1995.
  • 2Aquino R.M.and Green E.L.,On modules with linear presentations over Koszul algebras[J],Comm.Algebra,2005,33:19-36.
  • 3Beilinson A.,Ginszburg V.and Soergel W.,Koszul duality patterns in representation theory[J],J.Amer.Math.Soc.,1996,9:473-525.
  • 4Berger R.,Koszulity for nonquadratic algebras[J],J.Algebra,2001,239:705-734.
  • 5Green E.L.,Marcos E.N.,Martinez-Villa R.and Pu Zhang,D-Koszul algebras[J],J.pure and Appl.Algebra,2004,193:141-162.
  • 6Green E.L.and Martinez-Villa R.,Koszul and Yoneda algebras[C]// Representation theory of algebras (Cocoyoc,1994),CMS Conference Proceedings,Vol.18,American Mathematical Society,Providence,RI,1996:247-297.
  • 7Green E.L.and Martinez-Villa R.,Koszul and Yoneda algebras Ⅱ[C]// Algebras and modules,Ⅱ (Geiranger,1996),CMS Conference Proceedings,Vol.24,American Mathematical Society,Providence,RI,1998:227-244.
  • 8Green E.L.,Martinez-Villa R.,Reiten I.,Solbergφ.and Zacharia D.,On modules with linear presentations[J],J.Algebra,1998,205(2):578-604.
  • 9He J.-W.and Lu D.-M.,Higher koszul algebras and A-infinity algebras[J],J.Algebra,2005,293:335-362.
  • 10Martinez-Villa R.and Zacharia D.,Approximations with modules having linear resolutions[J],J.Algebra,2003,266:671-697.

共引文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部