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| 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. |
| 关键词: F-维数 C-维数 余挠对 |
| DOI： |
| 分类号:O153.3 |
| 基金项目:Supported by NSFC (10571026) and the Key NSF of Anhui Educational Committe (KJ2010A126). |
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| DIMENSIONS RELATIVE TO A COTORSION PAIR |
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SONG Xian-mei,ZHANG Xue
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| Abstract: |
| In this paper,let R be a ring and (F,C) a cotorsion pair of right R-modules.F-dimension (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. |
| Key words: F-dimension C-dimension cotorsion pair |
