| 分配格的等价关系刻画 |
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| 引用本文： | 孙向荣,贺伟.分配格的等价关系刻画[J].南京师大学报,2006,29(4):19-22. |
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| 作者姓名： | 孙向荣 贺伟 |
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| 作者单位： | 南京师范大学数学与计算机科学学院,江苏南京210097 |
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| 摘 要： | 通过在格上定义等价关系，给出了分配格，Heyting代数，Boolean代数的一致等价刻画。由此得到了Heyting代数与Boolean代数分解定理．
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| 关 键 词： | 等价关系 分配格 Heyting代数 Boolean代数 |
| 文章编号： | 1001-4616（2006）04-0019-04 |
| 收稿时间： | 2005-09-28 |
| 修稿时间： | 2005年9月28日 |
An Equivalence Relation Characterization of Distributive Lattices |
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| Sun Xiangrong,He Wei.An Equivalence Relation Characterization of Distributive Lattices[J].Journal of Nanjing Normal University(Natural Science Edition),2006,29(4):19-22. |
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| Authors: | Sun Xiangrong He Wei |
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| Institution: | School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China |
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| Abstract: | A characterization of distributive lattices, Heyting algebras and Boolean algebras was given by means of an equivalence relation defined on them. Furthermore, some interesting properties of Heyting algebras and Boolean algebras were obtained. |
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| Keywords: | equivalence relation distributive lattice Heyting algebra Boolean algebra |
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