| 相对于余挠对的维数(英文) |
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| 引用本文： | 宋贤梅,张雪.相对于余挠对的维数(英文)[J].数学杂志,2014,34(4):640-650. |
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| 作者姓名： | 宋贤梅 张雪 |
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| 作者单位： | 安徽师范大学数学系, 安徽 芜湖 241000,安徽师范大学数学系, 安徽 芜湖 241000 |
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| 基金项目： | Supported by NSFC (10571026) and the Key NSF of Anhui Educational Committe (KJ2010A126). |
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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.
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| 关 键 词： | F-维数 C-维数 余挠对 |
| 收稿时间： | 2013/1/7 0:00:00 |
| 修稿时间： | 2013/4/10 0:00:00 |
DIMENSIONS RELATIVE TO A COTORSION PAIR |
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| SONG Xian-mei and ZHANG Xue.DIMENSIONS RELATIVE TO A COTORSION PAIR[J].Journal of Mathematics,2014,34(4):640-650. |
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| Authors: | SONG Xian-mei and ZHANG Xue |
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| Institution: | Department of Mathematics, Anhui Normal University, Wuhu 241000, China and Department of Mathematics, Anhui Normal University, Wuhu 241000, China |
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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. |
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| Keywords: | F-dimension C-dimension cotorsion pair |
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