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关于特殊的F-预复盖与F-预包络
  • ISSN号：1001-2443
  • 期刊名称：《安徽师范大学学报：自然科学版》
  • 时间：0
  • 分类：O153.3[理学—数学;理学—基础数学]
  • 作者机构：[1]安徽师范大学数学计算机科学学院,安徽芜湖241000
  • 相关基金：国家自然科学基金（10571026）;安徽省教育厅自然科学基金（2006kj050c）;安徽师范大学博士基金.
作者： 宋贤梅[1]
关键词： F-预复盖, 特殊的F-预复盖, F-预包络, 特殊的F-预包络, F-precover, special F-precover, F-preenvelope, special F-preenvelope
中文摘要：

本文主要讨论短正合列上特殊的F-预复盖与F-预包络假设F是一个右R-模类。而0→Aλ↑→Bμ↑→C→0是一个右R-模的短正合列且A∈F┴则可以得到：若F在有限直和下封闭且A，C有特殊的F-预复盖，则B有特殊的F-预复盖．进一步地，若B有特殊的F-预复盖，则C也有特殊的F-预复盖对于短正舍列上特殊的F-预包络，亦有类似结果。

英文摘要：

In this paper, we mainly discuss special F-precover and F-preenvelope on short exact sequence. Let F be a class of R- modules, and 0 → A λ↑→ B μ↑→ C → 0 be a short exact sequence of right R- modules, where A ∈ F┴. It is proved that if F is closed under finitely direct sum, and A, C have special F-precover then B has a special F-precover. Furthermore, it is showed that if B has a special F-precover with A ∈ F┴ then C has a special F-precover. For the F-preenvelope on short exact sequence, there are similar results.

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期刊信息
  • 《安徽师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:安徽省教育厅
  • 主办单位:安徽师范大学
  • 主编：王伦
  • 地址：安徽省芜湖市北京东路1号
  • 邮编：241000
  • 邮箱：xbysd@mail.ahnu.edu.cn
  • 电话：0553-3869521 3869260
  • 国际标准刊号：ISSN：1001-2443
  • 国内统一刊号：ISSN：34-1064/N
  • 邮发代号:26-207
  • 获奖情况:
  • 安徽省高等院校优秀学报,安徽省优秀高校学报
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,德国数学文摘,美国剑桥科学文摘,中国中国科技核心期刊,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）
  • 被引量:6339