| Noether环上的幂稳定自由模 |
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| 引用本文： | 陈焕艮,张卫. Noether环上的幂稳定自由模[J]. 数学物理学报(A辑), 2008, 28(6): 1227-1231 |
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| 作者姓名： | 陈焕艮 张卫 |
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| 作者单位： | 湖南师范大学数学系,长沙410081 |
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| 基金项目： | 湖南省自然科学基金(08JJ3006)资助 |
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| 摘 要： | 设I是Noether环R的投射理想, Im=In, m≠n. 该文证明, 有限生成投射右R - 模幂稳定自由当且仅当(1) 存在环S使得I|m-n|( S ( R且有限生成投射S - 模是幂稳定自由; (2) 有限生成投射右R/I|m-n| - 模幂稳定自由.
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| 关 键 词： | Noether 环 幂稳定自由 K0-群 |
| 收稿时间： | 2006-09-15 |
| 修稿时间： | 2007-06-11 |
Power Stably Free Modules over Noetherian Rings |
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| Chen Huanyin,Zhang Wei. Power Stably Free Modules over Noetherian Rings[J]. Acta Mathematica Scientia, 2008, 28(6): 1227-1231 |
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| Authors: | Chen Huanyin Zhang Wei |
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| Affiliation: | (Department of Mathematics, Hunan Normal University, Changsha 410006) |
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| Abstract: | Let I be a projective ideal of a noetherian ring R and Im=In for some m≠n. We prove that every finitely generated projective right R-module is power stably free if and only if (1) there exists a ring S such that I|m-n|( S ( R and every finitely generated projective right S-module is power stably free, and (2)every finitely generated projective right R/I|m-n|-module is power stably free. |
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| Keywords: | Noetherian ringzz Power stably freezz K0-groupzz |
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