| 几乎局部Noether模的广义连续性特征 |
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| 引用本文： | 刘仲奎. 几乎局部Noether模的广义连续性特征[J]. 西北师范大学学报(自然科学版), 2000, 36(1): 1-4 |
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| 作者姓名： | 刘仲奎 |
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| 作者单位： | 刘仲奎（西北师范大学数学系，甘肃 兰州730070） |
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| 基金项目： | 国家自然科学基金(19671063)暨甘肃省青年基金(ZQ-96-01)资助项目 |
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| 摘 要： | 证明了在一定条件下左R-模M是几乎局部Noether模当且仅当任意M-singularM-内射左R-模的直和是S
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| 关 键 词： | 几乎局部Noether模 连续模 广义连续性 结合环 |
| 文章编号： | 1001-988X(2000)01-0001-04 |
| 修稿时间： | 1999-09-03 |
Characterizations of almost locally Noetherian modules by generalized continuity |
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| LIU Zhong-kui. Characterizations of almost locally Noetherian modules by generalized continuity[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 2000, 36(1): 1-4 |
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| Authors: | LIU Zhong-kui |
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| Affiliation: | LIU Zhong-kui ;(Depaxtment of Mathematics, Northwest Normal University, Lanzhou 730070, China) |
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| Abstract: | It is proved that a left R module M with Z M(M)=0 is almost locally Noetherian if and only if every direct sum of M singular M injective left R modules is S 2 continuous if and only if every direct sum of M singular M injective left R modules is S 2 quasi continuous. |
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| Keywords: | almost locally Noetherian module S 2 continuous module S 2 quasi continuous module generalized continuity |
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