期刊文献+

CS-模的直和 被引量:3

Direct Sums of CS Modules
下载PDF
导出
摘要 证明了如果M1和M2都是CS-模且M1是M2-o jective模,M2是基本M1-o jective模,那么M1 M1仍是CS-模. Let M1 and M2 be CS modules. It is proved that if M1 is M2-ojective and M2 is essentially M1-ojective, the direct sum of M1 and M2 is CS modules.
作者 吴德军
出处 《甘肃科学学报》 2005年第3期1-2,共2页 Journal of Gansu Sciences
基金 兰州理工大学科研发展基金资助项目(SB10200412)
关键词 ojective-模 基本ojective-模 闭包 ojective modules essentially ojective modules closure
  • 相关文献

参考文献6

  • 1Dung N V,Huynh D V,Smith P F,et al.Extending Modules[M].Pitman Research Notes in Math.Ser,1994. 被引量:1
  • 2Mohamed S H,Müller B J.Continuous and Discrete Module[M].London Math.Soc,LNS147,Cambridge Univ.Press:Cambridge,1990. 被引量:1
  • 3Hanada K,Kuratomi Y,Oshiro K.On Direct Sums of Extending Modules and Internal Exchange Porperty[J].J Algebra,2002,250:115-133. 被引量:1
  • 4Mohamed S H,Müller B J.Ojective Modules[J].Comm Algebra,2002,30(4):1817-1827. 被引量:1
  • 5Santa-Clara C.Extending Modules with Injective or Semisimple Summands[J].J Pure Appl Algebra,1998,127:193-203. 被引量:1
  • 6Liu Zhongkui.On X-extending and X-continuous modules[J].Comm Algebra,2001,29:2407-2418. 被引量:1

同被引文献23

  • 1吴德军.提升模的无限直和[J].甘肃科学学报,2007,19(1):7-9. 被引量:7
  • 2Keskin D. On Lifting Modules[J]. Comm Algebra.2000,28(7) : 3427-3440. 被引量:1
  • 3Keskin D, Harmanci A. A Relative Version of the Lifting Property of Modules[J]. Algebra Collo. ,2004,11(3):361-370. 被引量:1
  • 4Keskin D. Finite Direct Sums of (D1)-modules[J]. Tr J of Mathematics,1998,22:85-91. 被引量:1
  • 5Wisbauer R. Foundations of Module and Ring Theory[M]. Gordon and Breach: Philadephia.Reading, Paris, Montreux. Tokyo,Melbourne:Science Publishers, 1991. 被引量:1
  • 6Mohamed S H, Muller B J. Continuous and Discrete Module[M]. London Math Soc, LNS147,Cambridge Univ Press: Cambridge.1990. 被引量:1
  • 7Ganesan L, Vanaja N. Modules for which every Submodule has a Unique Coclosure[J]. Comm Algebra,2002,30(5):2355-2377. 被引量:1
  • 8Anderson F W, Fuller K R. Rings and Categories of Modules[M]. New York, Hedelberg, Berlin: Springer-Verlage,1992. 被引量:1
  • 9Mohamed S H,Müller B J.Ojective Modules[J].Comm Algebra,2002,30(4):1817-1827. 被引量:1
  • 10Mohamed S H,Müller B J.Continuous and Discrete Modules[M].Cambridge:Cambridge Univ Press,1990. 被引量:1

引证文献3

二级引证文献9

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