余纯FP_n-平坦模
详细信息    查看全文 | 推荐本文 |
  • 英文篇名:Copure FP_n-Flat Modules
  • 作者:申婧雯 ; 杨晓燕
  • 英文作者:SHEN Jing-wen;YANG Xiao-yan;School of Mathematics and Statistics,Northwest Normal University;
  • 关键词:余纯FPn-平坦模 ; FPn-平坦预包络 ; FPn-平坦伴随预包络
  • 英文关键词:copure FPn-flat modules;;FPn-flat preenvelope;;FPn-flat adjoint preenvelope
  • 中文刊名:XNND
  • 英文刊名:Journal of Southwest University(Natural Science Edition)
  • 机构:西北师范大学数学与统计学院;
  • 出版日期:2018-06-20
  • 出版单位:西南大学学报(自然科学版)
  • 年:2018
  • 期:v.40;No.282
  • 基金:国家自然科学基金项目(11761060)
  • 语种:中文;
  • 页:XNND201806011
  • 页数:4
  • CN:06
  • ISSN:50-1189/N
  • 分类号:75-78
摘要
设R是环.引入了余纯FP_n-平坦模的概念,探讨了这一模类与右R-模的FP_n-平坦预包络和左R-模的FP_n-平坦伴随预包络之间的关系.
        Let R be a ring.The conception of Copure FPn-flat module is introduced,and the relationships of this kind of modules with the FPn-flat preenvelope of the right R-modules and the FPn-flat adjoint preenvelope of the left R-modules are given.
引文
[1]ENOCHS E E,JENDA O M G.Copure Injective Resolutions,Flat Resolevents and Dimensions[J].Commentationes Mathematicae Universitatis Carolinae,1993,34(2):203-211.
    [2]DING N Q,CEHN J L.On Copure Flat Modules and Flat Resolvents[J].Commanications in Algebra,1996,24(3):243-262.
    [3]MAO L X.Adjoint Preenvelope and Precover of Modules[J].Publicationes Mathematicae Debrecen,2016,88(1-2):139-161.
    [4]BRAVO D,PREZ M A.Finiteness Conditions and Cotorsion Pairs[J].Journal of Pure and Applied Algebra,2017,221(6):1249-1267.
    [5]ENOCHS E E,JENDA O M G.Relative Homological Algebra[M].Berlin:Walter de Gruyter,2000.
    [6]ROTMAN J J.An Introduction to Homological Algera[M].New York:Academic Press,1979.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700