| S-Armendariz模与Quasi S-Armendariz模 |
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| 引用本文： | 欧阳伦群.S-Armendariz模与Quasi S-Armendariz模[J].数学物理学报(A辑),2010,30(3):828-834. |
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| 作者姓名： | 欧阳伦群 |
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| 作者单位： | 湖南科技大学数学与计算科学学院,湖南湘潭,411201 |
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| 基金项目： | 国家自然科学基金，湖南省教育厅项目 |
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| 摘 要： | 作为对Armendariz环的推广,该文引进了S-Armendariz模,并证明了S-Armendariz模具有许多与Armendariz环相类似的性质,从而将文献中的相关结论推广到更一般的情形.
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| 关 键 词： | Armendariz模 Quasi Armendariz模 广义幂级数 |
| 收稿时间： | 2008-10-22 |
| 修稿时间： | 2009-10-23 |
On S-Armendariz Modules and Quasi S-Armendariz Modules |
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| OU Yang-Lun-Qun.On S-Armendariz Modules and Quasi S-Armendariz Modules[J].Acta Mathematica Scientia,2010,30(3):828-834. |
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| Authors: | OU Yang-Lun-Qun |
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| Institution: | Department of Mathematics, Hunan Science and Technology University, Hunan Xiangtan 411201 |
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| Abstract: | In this paper, the author introduce the notion of S-Armendariz modules, which is a natural generalization of Armendariz rings. It is shown that S-Armendariz modules have some properties similar to those of Armendariz rings. Consequently, several known results in 8], 10] and 11] are extended to a general setting. |
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| Keywords: | Quasi |
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