数学物理学报(英文版)

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ON ALMOST PRECOVERS AND ALMOST PREENVELOPES

毛立新; 丁南庆; 佟文廷   

  1. 南京工学院基础部, 南京 211167
  • 收稿日期:2003-05-26 修回日期:1900-01-01 出版日期:2006-07-20 发布日期:2006-07-20
  • 通讯作者: 毛立新
  • 基金资助:

    This research was partially supported by the Specialized Research Fund
    for the Doctoral Program of Higher Education of China (20020284009, 20030284033), NSF of China (10331030), Jiangsu Planned Projects for
    Postdoctoral Research Funds (0203003403), the Postdoctoral Research Funds of China (2005037713), and the Nanjing Institute of Technology of China.

ON ALMOST PRECOVERS AND ALMOST PREENVELOPES

Mao Lixin; Ding Nanqing; Tong Wenting   

  1. Department of Basic Courses, Nanjing Institute of Technology, Nanjing 211167, China
  • Received:2003-05-26 Revised:1900-01-01 Online:2006-07-20 Published:2006-07-20
  • Contact: Mao Lixin

摘要:

Let C be a class of R-modules closed under isomorphisms and finite direct sums. It is first shown that the finite direct sum of almost C-precovers is an almost C-precover and the direct sum of an almost C-cover and a weak C-cover is a weak C-cover. Then the notion of almost C-preenvelopes is introduced and studied.

关键词: Almost precover, almost preenvelope

Abstract:

Let C be a class of R-modules closed under isomorphisms and finite direct sums. It is first shown that the finite direct sum of almost C-precovers is an almost C-precover and the direct sum of an almost C-cover and a weak C-cover is a weak C-cover. Then the notion of almost C-preenvelopes is introduced and studied.

Key words: Almost precover, almost preenvelope

中图分类号: 

  • 16D10