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单奇异GP-内射模与SF环 被引量:1

Simple Singular GP-injective Modules and SF Rings
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摘要 本文研究满足条件 :每个单奇异右 (或左 )R -模是GP -内射的SF环 ,并给出了强正则环的一些刻划 . The aim of this paper is to investigate some SF-rings whose simple singular right(or left)R-modules are GP-injective.In addition,several new characteristic properties of strongly regular rings are provided.
作者 潘勇 刘玉华
出处 《扬州教育学院学报》 2002年第3期5-7,共3页 Journal of Yangzhou College of Education
关键词 单奇异模 GP-内射模 强正则环 simple singular module GP-injective module strongly regular ring
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参考文献3

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  • 2CHEN J.On von Neumann regular rings and SF-rings[].Mathematica Japonica.1991
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同被引文献14

  • 1毛立新,佟文廷.拟极小内射模[J].Journal of Mathematical Research and Exposition,2005,25(2):369-375. 被引量:4
  • 2赵玉娥,杜先能.关于拟GP-内射模(英文)[J].大学数学,2005,21(3):38-41. 被引量:9
  • 3赵玉娥,杜先能.关于拟GP-内射模[J].安徽大学学报(自然科学版),2007,31(4):13-16. 被引量:5
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  • 6Nicholson W K, Yousif M F. Pricipally injective rings [ J ]. J Mgebra, 1995,174:77-93.
  • 7Nicholson W K, Yousif M F. On a theorem of camillo[J]. Commun Algebra,1995,23 (14) :5309-5314.
  • 8Ming Y C. On injectivity, P-injectivity and YJ-injectiveity[ J ]. Acta Math Univ Comenianae,2004, LXXIII (2) : 141-149.
  • 9Ming Y C. On injectivity and P-injectivity V[J]. Bull Math Soc Sci Math Roumanie Tome,2005,48(4) :379-389.
  • 10Ahsan J, Ibrahim A S. Some homological characterizations of regular rings[ J ]. Commun Algebra, 1982,10:87-912.

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