| 格蕴涵代数中的零化子 |
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| 引用本文： | 赵建彬,朱华,陈树伟.格蕴涵代数中的零化子[J].郑州大学学报(自然科学版),2012(2):35-38. |
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| 作者姓名： | 赵建彬 朱华 陈树伟 |
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| 作者单位： | [1]郑州大学数学系,河南郑州450001 [2]郑州大学电气工程学院,河南郑州450001 |
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| 基金项目： | 国家自然科学基金资助项目,编号61175055,10901143. |
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| 摘 要： | 在格蕴涵代数中,首先提出了零化子的概念,证明了零化子是理想和sl理想.然后,讨论了零化子的特殊性质.最后,讨论了零化子与理想、sl理想和零化子的格蕴涵同态像之间的关系.
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| 关 键 词： | 格蕴涵代数 零化子 理想 |
The Annihilator in Lattice Implication Algebras |
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| ZHAO Jian-bin,ZHU Hua CHEN Shu-wei.The Annihilator in Lattice Implication Algebras[J].Journal of Zhengzhou University (Natural Science),2012(2):35-38. |
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| Authors: | ZHAO Jian-bin ZHU Hua CHEN Shu-wei |
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| Institution: | 1. Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China ; 2. School of Electrical Engineering, Zhengzhou University, Zhengzhou 4-50001, China) |
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| Abstract: | The notion of an annihilator in lattice implication algebras was proposed. An annihilator was proved to be an ideal and an sl ideal. Then the special characteristics of the annihilator was obtained. The relationships between an annihilator and an ideal, between an annihilator and an sl ideal, between an annihilator and the lattice implication homomorphism image of the annihilator were discussed, respective- ly. |
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| Keywords: | lattice implication algebra annihilator ideal |
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