| 相容滤子完备偏序集上投射算子的几个性质 |
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| 引用本文： | 朱润秋,卢涛.相容滤子完备偏序集上投射算子的几个性质[J].松辽学刊,2014(1):54-56. |
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| 作者姓名： | 朱润秋 卢涛 |
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| 作者单位： | 淮北师范大学数学科学学院,安徽淮北235000 |
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| 基金项目： | 国家自然科学基金资助项目（11171156）;安徽省自然科学研究项目（KJ2012Z358） |
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| 摘 要： | 本文从对偶地角度出发,引入了相容滤子集、相容滤子完备偏序集的概念,并研究了偏序集及相容滤子完备偏序集上投射算子的几个性质.证明了若p:L→L是偏序集L上保相容滤子交的投射算子,则p(L)在L中对相容滤子交封闭等相关结论.
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| 关 键 词： | 滤子 相容滤子完备偏序集 投射算子 |
Some Properties of Projection Operators on Consistently Filtered Complete Posets |
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| ZHU Run-qiu,LU Tao.Some Properties of Projection Operators on Consistently Filtered Complete Posets[J].Songliao Journal (Natural Science Edition),2014(1):54-56. |
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| Authors: | ZHU Run-qiu LU Tao |
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| Institution: | ( Department of Mathematics Science, Huaibei Normal University, Huaibei 235000, China) |
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| Abstract: | In this paper, we introduce the concepts of the consistent filter and consistently filter complete posets. After that some properties of projection operators on posets and consistently filtered complete posers are dis- cussed. It is proved that if p：L→L is a projection operator preserving consistently filtered infs on posets L, then p （L） is closed under consistently filtered infs in L. |
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| Keywords: | filter consistently filter complete posets projection operators |
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