| 低阶DeMorgan代数和强DeMorgan代数 |
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| 引用本文： | 魏萍,张小红.低阶DeMorgan代数和强DeMorgan代数[J].宁波大学学报(理工版),2008,21(2):229-235. |
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| 作者姓名： | 魏萍 张小红 |
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| 作者单位： | 宁波大学,理学院,浙江,宁波,315211 |
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| 基金项目： | 国家自然科学基金
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浙江省自然科学基金 |
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| 摘 要： | 首先给出了De Morgan代数的阶与中点个数的关系，证明了五元非全序的De Morgan代数不存在，以及在同构的意义下七元非全序的De Morgan代数有且只有1个．同时，借助数学软件得到了全体阶数不超过8的De Morgan代数及强De Morgan代数．
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| 关 键 词： | De MORGAN代数 强De MORGAN代数 中点 阶 |
Low Order De Morgan Algebras and Strong De Morgan Algebras |
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| WEI Ping,ZHANG Xiao-hong.Low Order De Morgan Algebras and Strong De Morgan Algebras[J].Journal of Ningbo University(Natural Science and Engineering Edition),2008,21(2):229-235. |
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| Authors: | WEI Ping ZHANG Xiao-hong |
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| Institution: | ( Faculty of Science, Ningbo University, Ningbo 315211, China) |
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| Abstract: | The paper establishes the relationship between order and middle point in De Morgan algebras. Non-existence is proved for the 5-ary non-totally ordered De Morgan algebras, and in isomorphism there is only one non-totally ordered De Morgan algebra with 7-ary. Furthermore, all De Morgan algebras and strong De Morgan algebras （n ≤8） are obtained using mathematical software. |
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| Keywords: | De Morgan algebras strong De Morgan algebras middle point order |
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