| 交换环中理想的w-整闭包 |
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| 引用本文： | 杨杰.交换环中理想的w-整闭包[J].西南民族大学学报(自然科学版),2015,41(6):745-747. |
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| 作者姓名： | 杨杰 |
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| 作者单位： | 西南民族大学计算机科学与技术学院 |
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| 基金项目： | 中央高校基本科研业务费青年教师基金项目（2015NZYQN54) |
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| 摘 要： | R是一个交换环,利用交换环中w-星型算子,本文给出了R中任意理想I的w-整闭包的定义,推广了整闭包的定义.本文首先证明了交换环R中w-整闭包的保持性质;其次,证明了交换环R中理想I的w-整闭包的局部化的四个等价性质;最后,给出了元素r属于GV-无挠理想I的w-整闭包的充分必要条件.
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| 关 键 词： | GV-理想 GV-无挠理想 w-整闭包 |
| 收稿时间： | 2015/9/29 0:00:00 |
| 修稿时间： | 2015/11/4 0:00:00 |
w- integral closure of ideals in commutative rings |
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| yangjie.w- integral closure of ideals in commutative rings[J].Journal of Southwest University for Nationalities(Natural Science Edition),2015,41(6):745-747. |
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| Authors: | yangjie |
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| Institution: | School of Computer and Technology, Southwest University for Nationalities |
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| Abstract: | Let R be a commutative ring. This paper defines the w-integral closure of ideals with w- operation, which generalizes integral closure of ideals. Firstly, the persistent property of the w-integral closure in R is proved; Moreover, four equivalent properties of the w-integral closure under localization are shown; Finally, the sufficient and necessary condition are given that r belongs to the w- integral clousure of I. |
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| Keywords: | GV-ideal GV-torsionfree ideal W- integral closure |
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