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余纯Gorenstein投射、内射和平坦模 被引量:1

Copure Gorenstein Projective,Injective and Flat Module
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摘要 利用Gorenstein投射、内射和平坦模定义了余纯Gorenstein投射、内射和平坦模,并利用同调的方法讨论了余纯Gorenstein投射、内射和平坦模的性质,最终找到了余纯Gorenstein投射、内射和平坦模与相应的预包络和预覆盖的关系。 The definitions of the copure Gorenstein projective,injective and flat Module are given using Gorenstein projective,injective and flat module and the properties of copure Gorenstein projective,injective and flat module are discussed by homological method.At last the relationship of copure Gorenstein projective,injective and flat module and preenvelope are found.
作者 邢建民
出处 《青岛科技大学学报(自然科学版)》 CAS 2011年第1期104-106,共3页 Journal of Qingdao University of Science and Technology:Natural Science Edition
基金 山东省自然科学基金项目(BS2009SF017)
关键词 余纯Gorenstein投射模 余纯Gorenstein内射模 余纯Gorenstein平坦模 预包络 预覆盖 copure Gorenstein projective copure Gorenstein injective module copure Gorenstein flat module preenvelope precover
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参考文献8

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同被引文献5

  • 1ENOCHS E E,JENDA O M G. On Gorenstein injective modules[J].Communications in Algebra,1993.3489-3501.
  • 2ENOCHS E E,JENDA O M G. Gorenstein injective and projective modules[J].Mathematische Zeitschrift,1995.611-633.
  • 3BENNIS D,MAHDOU N. Strongly Gorensteon projective,injective and flat modules[J].Journal of Pure and Applied Algebra,2007.437-445.
  • 4YANG X Y,LIU Z K. Strongly Gorensteon projective,injective and flat modules[J].Journal of Algebra,2008.2659-2674.
  • 5ENOCHS E E,JENDA O M G,XU J. Foxby duality and Gorenstein injective and projective modules[J].Transactions of the American Mathematical Society,1996.3223-3234.

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