期刊文献+

χ-提升模 被引量:2

χ-lifting modules
下载PDF
导出
摘要 通过引入χ-提升模的概念,讨论了两个χ-提升模的直和仍然是χ-提升模的充分条件.作为推论可得到两个提升模的直和仍然是提升模的充分条件. The sufficient condition for that that the direct sum of two x-lifting modules will still be x-lifting module was discussed by introducing the concept of x-lifting module. As a corollary, such a sufficient condition that the direct sum of two lifting modules still is lifting one is obtained.
作者 吴德军
出处 《兰州理工大学学报》 CAS 北大核心 2005年第6期141-143,共3页 Journal of Lanzhou University of Technology
关键词 x-提升模 富足补模 模类 x-lifting module amply supplemented module module class
  • 相关文献

参考文献7

  • 1KESKIN D. Finite direct sms of (D1)-Modules [J]. Tr J of Mathematics, 1998,22:85-91.
  • 2KESKIN D. Characterizations of right perfect rings by +oplus-supplemented modules [J]. Contempm Math, 2000, 259: 313-318.
  • 3HARMANCI A, KESKIN D, SMITH P F. On +-supplemented modules [J]. Acta Mathematica Hung,1999,83:161-169.
  • 4LIU Zhongkui. Direct sums of type 2 X-extending modules [J].Vietnam J Math, 2001,29: 225-233.
  • 5KESKIN D. On lifting modules [J]. Comm Algebra, 2000, 28(7) :3427-3440.
  • 6MOHAMED S H, MUI_I.FR B J. Continuous and discrete module [M]. Cambridge:Cambridge University Press, 1990.
  • 7WISBAUER R. Foundations of mouduie and ringtheory [M].Gordon and Breach:Philadelphia, 1991.

同被引文献18

  • 1吴德军,孔芳弟.提升模的推广[J].兰州理工大学学报,2006,32(1):142-145. 被引量:3
  • 2BIRKENMEIER G F,MLLER B J,RIZVI S T.Modules in which every fully invariant submodule is essential in a direct summand[J].Comm Algebra,2002,30(3):1 395-1 415.
  • 3BIRKENMEIER G F,PARK J K,RIZVI S T.Modules in which every fully invariant submodule in fully invariant summand[J].Comm Algebra,2002,30(4):1 833-1 852.
  • 4SMITH P F.CS-modules and weak CS-modules(non-commutative ring theory)[J].Springer LNM,1990(1448):543-572.
  • 5LIU Zhongkui.On X-extending and X-continuous modules[J].Comm Algebra,2001,29(6):2 407-2 418.
  • 6CELIK C,HARMANC A,SMITH P F.A Generalization of CS-modules[J].Comm Algebra,1995,23(14):5 445-5 460.
  • 7DOGRUOZ S,SMITH P F.Modules which are extending relative to module classes[J].Comm Algebra,1998,26(6):1 699-1 721.
  • 8MOHAMED S H,MLLER B J.Continuous and discrete module[M].Cambridge:Cambridge University Press,1990.
  • 9KESKIN D.On Lifting modules[J].Comm Algebra,2000,28(7):3 427-3 440.
  • 10WISBAUER R.Foundations of moudule and ring theory[M].Gordon and Breach:Philadelphia,1991.

引证文献2

二级引证文献6

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