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关于基本内射模的注记

A note on essentially injective modules
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摘要 基本内射性是ojectivity的推广.首先讨论了基本内射模和基本ojective模的一致性,并证明了两者是一致的;给出了基本内射模的定义,并用类似于内射模的研究方法得到了基本内射模的Baer准则等性质. Essentially injectivity is a generalization of ojectivity. The concept of essentially injective module was presented. It was proved that essentially injective modules and essentially ojective modules were consistent. Similarly to the injective module, some properties of essentially injective modules, such as Baer Criterion were established.
出处 《浙江师范大学学报(自然科学版)》 CAS 2007年第4期406-409,共4页 Journal of Zhejiang Normal University:Natural Sciences
关键词 基本内射模 ojective模 基本ojective模 余补子模 闭子模 essentially injective modules ojective modules essentially ojective modules complement closed
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参考文献6

  • 1Mohamed S H,Müller B J.Ojective Modules[J].Comm Algebra,2002,30(4):1817-1827.
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二级参考文献6

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

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