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相对本质子模与Morita对偶 被引量:1

Relative Essential Submodules and Morita Duality
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摘要 将小模类σ引入研究本质子模,推广得到了σ-本质子模,并刻画了其性质.通过σ-本质子模引入并刻画了模的σ-基座.在Morita对偶下,证明了σ-本质子模与δ-小子模构成了对偶对. The author introduce the class of small modules to investigate σ-essential submodules,and obtain some properties. σ-essential submodules are used to introduce and characterize σ-socles of modules.Under Morita duality,the author prove that σ-essential submodules and δ-small submodules are dual each other.
出处 《福建师范大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第5期1-5,共5页 Journal of Fujian Normal University:Natural Science Edition
基金 福建省自然科学基金资助项目(2009J01003) 福建省科技厅F5项目(2007F5038)
关键词 小模 本质子模 基座 MORITA对偶 small module essential submodule socle Morita duality
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参考文献6

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同被引文献8

  • 1Ghorbani A,Haghany A. Duality for weakly co-Hopfian and generalized Hopfian modules[J].Communications in Algebra,2003.2811-2817.
  • 2Varadarajan K. Hopfian and co-Hopfian objects[J].Publications Mathematiques,1992.293-317.
  • 3Xue Weimin. Hopfian and co-Hopfian modules[J].Communications in Algebra,1995.1219-1229.
  • 4Ghorbani A,Haghany A. Generalized Hopfian modules[J].Journal of Algebra,2002.324-341.
  • 5Zhou Yiqiang. Generalizations of perfect,semiperfect and semiregular rings[J].Algebra Colloquium,2000,(03):305-318.
  • 6Anderson F W,Fuller K R. Ringand categories of modules[M].New York:springer-verlag,1992.
  • 7Xue Weimin. Rings with Morita duality[M].Berlin Heidelberg,New York:Springer-Verlag,1992.
  • 8吴金明,周德旭.关于模序对的对偶性[J].福建师范大学学报(自然科学版),2008,24(6):5-8. 被引量:1

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