| 格蕴涵代数不等式的解 |
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| 引用本文： | 龙希庆.格蕴涵代数不等式的解[J].内江师范学院学报,2011,26(2):8-10. |
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| 作者姓名： | 龙希庆 |
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| 作者单位： | 宜宾学院,数学学院,四川,宜宾,644000 |
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| 摘 要： | 在格蕴涵代数中研究两类格蕴涵代数不等式，分别讨论了两类不等式有解的充分必要条件，在此基础上给出格蕴涵代数不等式的具体解集并证明其解集分别是L的一个凸子格和子格．
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| 关 键 词： | 格蕴涵代数 格蕴涵代数不等式 凸子格 |
Study on the Solutions of Inequalites in the Lattice Implication Algebra |
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| LONG Xi-qing.Study on the Solutions of Inequalites in the Lattice Implication Algebra[J].Journal of Neijiang Teachers College,2011,26(2):8-10. |
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| Authors: | LONG Xi-qing |
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| Institution: | LONG Xi-qing(School of Maths,Yibin University,Yibin,Sichuan 644000,China) |
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| Abstract: | Two calsses of inequalities are studied in the lattice implication algebra.The necessary and sufficient conditions for the existence of solutions for the inequalities were put under discussion respectively,based on which the detailed solution sets are given and the fact is confirmed that the solution sets of the two calsses of inequalities are a convex sub-lattice and a sub-lattice of L,respectively. |
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| Keywords: | lattice implication algebras lattice implication algebra inequalities convex sub-lattices |
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