| 关于弱模格及其同余关系格的一些注记 |
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| 引用本文： | 段志生.关于弱模格及其同余关系格的一些注记[J].内蒙古大学学报(自然科学版),1996,27(6):731-735. |
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| 作者姓名： | 段志生 |
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| 作者单位： | 内蒙古大学数学系 |
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| 摘 要： | 以非模格Ｌ的ｎ５子格的弱射影关系刻划了弱模性．证明了在主同余关系可分的条件下．弱模格的同余关系格与分配格的同余关系格的特征是一致的，由此证明了对任意格Ｌ，存在分配格Ｋ使Ｃ（Ｌ）Ｃ（Ｋ）的充要条件是Ｌ为弱模格且其主同余关系可分．
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| 关 键 词： | 弱模格，同余关系可分，紧元，分配元 |
Some Notes on Weakly Modular Lattice and its Congruence Lattice |
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| Duan Zhisheng.Some Notes on Weakly Modular Lattice and its Congruence Lattice[J].Acta Scientiarum Naturalium Universitatis Neimongol,1996,27(6):731-735. |
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| Authors: | Duan Zhisheng |
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| Abstract: | Nonmodular weakly modular lnttice is characterized by weakly projective relations of its ns sublattice. And it is proved that the characterizations of congruence lattices of distributive lattice and weakly modular lattice are consistent on condition that principal congruences are separable.Hence we have obtained that for any lattice L, there is a distributive lattice K such that C(L)C(K) if and only if L is weakly modular lattice and its principal congruences are separable. |
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| Keywords: | weakly modular lattice separable congruence compact element distributive element |
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