| 带蕴涵算子的N元格蕴涵代数不等式的解 |
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| 引用本文： | 龙希庆.带蕴涵算子的N元格蕴涵代数不等式的解[J].宜宾学院学报,2012(6):1-4. |
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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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| 基金项目： | 国家自然科学基金资助项目(61175055);宜宾学院院级重点项目(2010Z04) |
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| 摘 要： | 在格蕴涵代数中研究了带蕴涵算子的N元格蕴涵代数不等式,得到其有解的充分必要条件,同时还在b是L交既约元的情况下,找出该不等式的所有极大解,进而给出其具体解集.
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| 关 键 词： | 格蕴涵代数 格蕴涵代数不等式 交既约元 极大元 |
On N-inequality with Implication Operator in Lattice Implication Algebra |
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| Authors: | LONG Xi-qing |
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| Institution: | LONG Xi-qing(School of Mathematics,Yibin University,Yibin 644000,China) |
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| Abstract: | The N-inequality with implication operator was studied in the lattice implication algebra.The necessary and sufficient conditions for existence of solution for the N-inequality will be presented respectively.In the case,that b is an irreducible element of L,the all maximal elements of solutions and detailed solution sets are given. |
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| Keywords: | lattice implication algebras lattice implication algebraic N-inequalities irreducible elements maximal elements |
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