| 闭包系统的确定 |
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| 引用本文： | 鲜路,李生刚,严小平.闭包系统的确定[J].山东大学学报(理学版),2009,44(6):18-21. |
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| 作者姓名： | 鲜路 李生刚 严小平 |
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| 作者单位： | 陕西师范大学数学与信息科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10271069);;陕西师范大学研究生培养创新基金资助项目(2009CXS029) |
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| 摘 要： | 证明了可以在WCL(X)(X上的弱闭包算子的全体)、 WIN(X)(X上的弱内部算子的全体)、 WOU (X) (X上的弱外部算子的全体)、 WB (X) (X上的弱边界算子的全体)、WD( X)(X上的弱导算子的全体)、 WD* (X)(X上的弱差导算子的全体)、 WR( X)(X上的弱远域系算子的全体)和WN(X)(X上的弱邻域系算子的全体)上定义适当的序关系,使它们成为与(CS(X),〖JX-*5]JX*5])同构的完备格(其中CS(X)是给定集合X上的闭包系统的全体)。
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| 关 键 词： | 闭包系统 弱内部算子 弱外部算子 弱边界算子 弱差导算子 弱远域系算子 |
| 收稿时间： | 2008-08-07 |
Determination of closure systems |
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| XIAN Lu,LI Sheng-gang,YAN Xiao-ping.Determination of closure systems[J].Journal of Shandong University,2009,44(6):18-21. |
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| Authors: | XIAN Lu LI Sheng-gang YAN Xiao-ping |
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| Institution: | College of Mathematics and Information Science;Shaanxi Normal University;Xi'an 710062;Shaanxi;China |
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| Abstract: | For an abitrary set X,appropriate order relations on WCL(X)(the set of all weak closure operators),WIN(X)(the set of all weak interior operators), WOU(X)(the set of all weak exterior operators),WB(X)(the set of all weak boundary operators),WD(X)(the set of all weak derived operators),WD*(X)(the set of all weak difference derived operators),WR(X) (the set of all weak remote neighborhood system operators) and WN(X)(the set of all weak neighborhood system operators) can be defined respectively,which make WCL(X... |
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| Keywords: | closure system weak interior operator weak exterior operator weak boundary operator weak difference derived operator weak remote neighborhood system operator |
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