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| 广义幂级数环上Morita Context环的稳定条件 | |
| 引用本文： | 欧阳伦群. 广义幂级数环上Morita Context环的稳定条件[J]. 数学研究及应用, 2009, 29(1): 99-105 |
| 作者姓名： | 欧阳伦群 |
| 作者单位： | 湖南科技大学数学与计算科学学院, 湖南 湘潭 411201; 2. 湖南师范大学数学与计算科学学院, 湖南 长沙 410081 |
| 基金项目： | 湖南省自然科学基金(No.06jj20053); 湖南省教育厅资助科研项目(No.06A017; 07C268). |
| 摘 要： | In this paper, we show that if rings A and B are （s, 2）-rings, then so is the ring of a Morita Context（[[A^S,≤]],[[B^S,≤]],[[M^S,≤]],[[N^S,≤]],ψ^S,Ф^S）of generalized power series. Also we get analogous results for unit 1-stable ranges, GM-rings and rings which have stable range one. These give new classes of rings satisfying such stable range conditions. |
| 关 键 词： | 代数 数论 组合理论 类域 |
| 收稿时间： | 2007-01-08 |
| 修稿时间： | 2007-07-13 |
Stable Rings for Morita Contexts of Generalized Power Series Rings |
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| OUYANG Lun Qun. Stable Rings for Morita Contexts of Generalized Power Series Rings[J]. Journal of Mathematical Research with Applications, 2009, 29(1): 99-105 | |
| Authors: | OUYANG Lun Qun |
| Affiliation: | Department of Mathematics, Hunan Science and Technology University, Hunan 411201, China; Department of Mathematics, Hunan Normal University, Hunan 410081, China |
| Abstract: | In this paper, we show that if rings $A$ and $B$ are $(s,2)$-rings, then so is the ring of a Morita Context $([[A^{S,leq}]], [[B^{S,leq}]],[[M^{S,leq}]],[[N^{S,leq}]],psi^{S},phi^{S})$ of generalized power series. Also we get analogous results for unit 1-stable ranges, $GM$-rings and rings which have stable range one. These give new classes of rings satisfying such stable range conditions. |
| Keywords: | Morita Context unit 1-stable range generalized power series. |
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