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相对于余挠对的维数
  • ISSN号：0255-7797
  • 期刊名称：《数学杂志》
  • 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：Supported by NSFC（10571026） and the Key NSF of Anhui Educational Committe （KJ2010A126）.
作者： 宋贤梅[1], 张雪[1]
关键词： F-维数, C-维数, 余挠对, F-dimension, C-dimension, cotorsion pair
中文摘要：

本文介绍了右R-模的F-维数（C-维数）以及环R上整体F-维数（C-维数）.利用同调方法,给出了平坦模维数的新刻画.另外,得到了von Neumann正则环和完全环的新刻画.

英文摘要：

In this paper, let R be a ring and （F, C） a cotorsion pair of right Rmodules. Ydimension （C-dimension） of right R-modules and the global F-dimension （C-dimension） of R are introduced which unifies some known dimensions of modules and rings. By using homological methods, some new characterizations of the flat dimension of modules are given. In addition, von Neumann regular rings and perfect rings are characterized from new aspects.

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期刊信息
  • 《数学杂志》
  • 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:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3910