| Quantic格中的理想和理想余闭包算子 |
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| 引用本文： | 周欣,赵彬.Quantic格中的理想和理想余闭包算子[J].陕西师范大学学报,2012(1):1-5. |
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| 作者姓名： | 周欣 赵彬 |
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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(11171196,10871121) |
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| 摘 要： | 引入了Quantic格上的理想和理想余闭包算子的概念,研究了理想和理想余闭包算子的若干性质,讨论了Quantic格同态与理想之间的关系.证明了在Quantic格中,一个子集是理想当且仅当它是某个理想余闭包算子的像.
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| 关 键 词： | Quantic格 理想 Quantic格同态 理想余闭包算子 |
The ideals and ideal coclosure operators of Quantic lattices |
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| ZHOU Xin,ZHAO Bin.The ideals and ideal coclosure operators of Quantic lattices[J].Journal of Shaanxi Normal University: Nat Sci Ed,2012(1):1-5. |
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| Authors: | ZHOU Xin ZHAO Bin |
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| Institution: | (College of Mathematics and Information Science,Shaanxi Normal University,Xi′an 710062,Shaanxi,China) |
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| Abstract: | The concepts of ideal and ideal coclosure operator on a quantic lattice are given.Some properties of them are studied,and the relationship between quantic lattice homomorphisms and ideals is discussed.It is proved that in a quantic lattice,a subset is an ideal if and only if it is the image of an ideal coclosure operator. |
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| Keywords: | Quantic lattice ideal quantic lattice homomorphism ideal coclosure operator |
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