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关于GP-V'-环的强正则性

ON STRONGLY REGULARITY OF GP-V'-RINGS
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摘要 本文研究了GP-V,GP-V'-环的Von Neumann正则性问题.利用GW-理想和拟ZI-环的性质及方法,得到了GP-V,GP-V'-环是强正则环的一些条件,推广了文献[4]和文献[6]的相关结果. In this paper, we study strongly regularity of GP-V-rings and GP-V^-rings. By using some properties of GW-ideals and quasi ZI-rings, we obtain some conditions for a GP-V-ring or a GP-V'-ring to be a strongly regularity ring. These extend some corresponding results in [4, 6].
出处 《数学杂志》 CSCD 北大核心 2013年第5期844-848,共5页 Journal of Mathematics
基金 国家自然科学基金资助(10971099 10901002) 安徽省教育厅自然科学研究重点项目(KJ2008A026 KJ2010A126)
关键词 GP-V'-环 GP-V'-环 GW-理想 拟ZI-环 GP-V-rings GP-V'-rings GW-ideals quasi ZI-rings
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二级参考文献20

  • 1宋贤梅.Regularity of Rings Whose Every Simple Singular Left R-module is GP-injective[J].Northeastern Mathematical Journal,2005,21(1):39-44. 被引量:5
  • 2GOODEARL K R. Ring Theory: Nonsingular Rings and Modules [M]. Marcel Dekker, Inc., New York-Basel, 1976.
  • 3GOODEARL K R. Von Neumann Regular Rings [M}. Krieger Publishing Co., Inc., Malabar, FL, 1991.
  • 4HABEB J M. A note on zero commutative and duo rings [J]. Math. J. Okayama Univ., 1990, 32: 73-76.
  • 5XIAO Guangshi, TONG Wenting. Rings whose every simple lef R-module is GP-injecive [J]. Southeast Asian Bull. Math., 2006, 30(5): 969-980.
  • 6Xiao Guangshi, Tong Wenting. On GP-V-rings and Characterizations o[strongly regular rings [J]. Northeast Math. J., 2002, 18(4): 291-297.
  • 7YUE CHI MING R. On regular rings and Artinian rings [J]. Pdv. Math. Univ. Parma, 1985, 11(4): 101-109.
  • 8HIRANO Y, KIM H K, KIM J Y. A note on GP-injectivity [J]. Algebra Colloq., 2009, 16(4): 625--629.
  • 9KIM J Y. Certain rings whose simple singular modules are GP-injective [J]. Proc. Japan Acad. Ser. A Math. Sci., 2005, 81(7): 125-128.
  • 10NAM S B, KIvl N K, KIM J Y. On simple GP-injective modules [J]. Comm. Algebra, 1995, 23(14): 5437- 5444.

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