| 对称扩展的有界分配格的同余格的结构 |
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| 引用本文： | 刘莎莎,罗从文.对称扩展的有界分配格的同余格的结构[J].三峡大学学报(自然科学版),2010,32(6):107-108,112. |
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| 作者姓名： | 刘莎莎 罗从文 |
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| 作者单位： | 三峡大学理学院,湖北宜昌443002 |
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| 摘 要： | 将格上可分同余关系的概念推广到对称扩展的有界分配格上,并讨论了可分同余关系的性质.利用这些性质得到了同余格为布尔代数的充分必要条件.
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| 关 键 词： | 对称扩展分配格 可分同余关系 伪补 |
Construction of Congruence lattice of Symmetrical and Extended Bounded Distributive Lattice |
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| Liu Shasha,Luo Chongwen.Construction of Congruence lattice of Symmetrical and Extended Bounded Distributive Lattice[J].Journal of China Three Gorges University(Natural Sciences),2010,32(6):107-108,112. |
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| Authors: | Liu Shasha Luo Chongwen |
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| Affiliation: | Liu Shasha Luo Chongwen(College of Science,China Three Gorges Univ.,Yichang 443002,China) |
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| Abstract: | We generalize the concept of the separable congruence relation on the lattice to the symmetrical and extended bounded distributive lattice.And some properties of the separable congruence relation are discussed.Furthermore,we obtain a sufficient and necessary condition for the congruence lattice being a Boolean lattice by these properties. |
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| Keywords: | symmetrical and extened distributive lattice separable congruence relation pseudo-complement |
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