| 有有限Goldie维数模的直和消去 |
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| 引用本文： | 刘阳. 有有限Goldie维数模的直和消去[J]. 东北数学, 2007, 23(4): 355-362 |
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| 作者姓名： | 刘阳 |
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| 作者单位： | Institute of Mathematics, Jilin University, Changchun, 130012 |
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| 摘 要： | In this paper, we show that if C is a module with finite Goldie dimension, and A ＋ C≌B ＋ C, then there are essential submodules A＇△ A, B＇△ B such that A＇≌ B＇.
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| 关 键 词： | 基本子模 模数 金维 范畴论 |
| 文章编号： | 1000-1778（2007）04-0355-08 |
| 收稿时间： | 2006-11-18 |
| 修稿时间： | 2006-11-18 |
Cancellation of Modules with Finite Goldie Dimension |
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| LIU Yang. Cancellation of Modules with Finite Goldie Dimension[J]. Northeastern Mathematical Journal, 2007, 23(4): 355-362 |
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| Authors: | LIU Yang |
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| Affiliation: | Institute of Mathematics, Jilin University, Changchun, 130012 |
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| Abstract: | In this paper, we show that if C is a module with finite Goldie dimension,that A' ≌ B'. |
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| Keywords: | direct sum cancellation Goldie dimension essential submodule |
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