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关于F-覆盖的存在性
  • ISSN号：1671-9352
  • 期刊名称：《山东大学学报：理学版》
  • 时间：0
  • 分类：O153.3[理学—数学;理学—基础数学]
  • 作者机构：[1]安徽师范大学数学系,安徽芜湖241000
  • 相关基金：国家自然科学基金资助项目（10571026）;安徽省教育厅重点研究项目（KJ2010A126）;安徽师范大学专项基金（2008xzx10）
作者： 宋贤梅[1]
关键词： f-覆盖, f-预覆盖, f-预包络, f-cover, f-precover, f-preenvelope
中文摘要：

定义了一种模类-广义遗传预挠类．f-,即右R-模类f在纯子模，正向极限，纯满像下封闭。证明了若广义遗传预挠类f在扩张下封闭且R∈．f,则每一个右R-模有f-覆盖。同时，还得到了当。f是广义遗传预挠类时，每一个右R-模有f-预包络当且仅当．f在直积下封闭。

英文摘要：

A generalized hereditary pretorsion class fare defined, that is the class of right R-module .f is closed under pure submodule, direct limits, and pure homomorphism image. It is shown that if fis a generalized hereditary pretor- sion class closed under extension and R ∈ f, then every fight R-module has an f--cover. And it is proved that if fis a generalized hereditary pretorsion class, then every fight R-module has an f-preenvelope if and only if fis closed under products.

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期刊信息
  • 《山东大学学报：理学版》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:山东大学
  • 主编：刘建亚
  • 地址：济南市经十路17923号
  • 邮编：250061
  • 邮箱：xblxb@sdu.edu.cn
  • 电话：0531-88396917
  • 国际标准刊号：ISSN：1671-9352
  • 国内统一刊号：ISSN：37-1389/N
  • 邮发代号:24-222
  • 获奖情况:
  • 国内外数据库收录:
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  • 被引量:6243