| 利用格蕴涵代数找出所有LI-理想的方法 |
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| 引用本文： | 赵建彬,朱华. 利用格蕴涵代数找出所有LI-理想的方法[J]. 数学的实践与认识, 2012, 42(19) |
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| 作者姓名： | 赵建彬 朱华 |
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| 作者单位： | 郑州大学数学系,河南郑州,450001 |
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| 摘 要： | 利用格蕴涵代数中理想的定义未找出所有的理想需要花费大量的时间.给出了利用格蕴涵代数的蕴涵运算表找出格蕴涵代数所有理想的方法;再利用析取运算表找出格蕴涵代数中所有sl_理想的方法;最后,利用蕴涵否运算表找出格蕴涵代数中所有LI-理想的方法.
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| 关 键 词： | 格蕴涵代数 理想 sl_理想 LI-理想 |
Using Lattice Implication Algebras to Find All LI-ideals |
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| ZHAO Jian-bin , ZHU Hua. Using Lattice Implication Algebras to Find All LI-ideals[J]. Mathematics in Practice and Theory, 2012, 42(19) |
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| Authors: | ZHAO Jian-bin ZHU Hua |
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| Abstract: | The traditional method to find all the LI-ideals usually spends a lot of time by according to the definition of LI-ideal in lattice implication algebras.In this paper,the new method to find all ideals is proposed by using the implicative operators in lattice implication algebras.Then all the sl_ideals are found by using the disjunctive operators.Finally,all the LI-ideals are found by using the implicative operators and negative operators. |
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| Keywords: | Lattice implication algebra ideal sl_ideal LI-ideal |
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