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τ-平坦试验模与τ-平坦覆盖

丰 晓,张顺华   

  1. 山东大学数学与系统科学学院, 山东济南250100
  • 收稿日期:2006-07-28 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
  • 通讯作者: 丰 晓

τ-Flat test modules and τ-flatcover

FENG Xiao and ZHANG Shun-hua   

  1. School of Math. and System Sci., Shandong Univ., Jinan 250100, Shandong, China
  • Received:2006-07-28 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: FENG Xiao

摘要: 证明了τ-平坦试验模的存在性, 并给出了{τ-平坦模}构成预包络类或预覆盖类的几个充分条件.

关键词: 遗传扭对, τ-平坦试验模, 预覆盖类 , 预包络类

Abstract: The existence of τ-flat test modules is proved, and some sufficient conditions for {τ-flat left R-modules} being preenvelope class or precove class are obtained.

Key words: precover class , preenvelope class, τ-flat test modules, hereditary torsion theory

中图分类号: 

  • O152.7
[1] 丰 晓,张顺华* . 左G-正则环[J]. J4, 2007, 42(8): 51-54 .
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