| 弱双补代数的直积和同余 |
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| 引用本文： | 解进,罗从文,陈继华.弱双补代数的直积和同余[J].合肥联合大学学报,2007,17(1):18-20,31. |
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| 作者姓名： | 解进 罗从文 陈继华 |
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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： | 弱双补代数是在有限分配情形下对概念代数抽象而成的一种代数．考察了弱双补代数的直积和同余，通过分别在直积和同余类上构造相应的二元运算和一元运算，证明其直积和同余类亦是弱双补代数，并证明了弱双补代数的同态定理．
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| 关 键 词： | 弱双补代数 概念代数 直积 同余 |
| 文章编号： | 1673-162X（2007）01-0018-03 |
| 收稿时间： | 2006-10-18 |
| 修稿时间： | 2006-12-20 |
Direct Product and Congruence of Weakly Dicomplemented Lattice |
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| Authors: | XIE Jin LUO Cong-wen CHEN Ji-hua |
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| Abstract: | In finite distributive lattices weakly dicomplemented lattices are abstract concept algebra. We investigate the direct product and congruence of weakly dicomplemented lattice, prove that they are dicomplemented lattices, and the homomorphism theorem of weakly dicomplemented lattice. |
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| Keywords: | weakly dicomplemented lattice concept algebra direct product congruence |
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