| 完备剩余幂集格的经典同构对象 |
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| 引用本文： | 方进明,韩慧.完备剩余幂集格的经典同构对象[J].中国海洋大学学报(自然科学版),2011(Z1):193-196. |
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| 作者姓名： | 方进明 韩慧 |
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| 作者单位： | 中国海洋大学数学科学学院; |
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| 摘 要： | 本文在格L是完备剩余格的条件下,引入关于L-集合套的张量积和蕴涵运算,证明了L-集合套关于这2种运算构成完备剩余格。本文还进一步证明该完备剩余格恰好与完备剩余幂集格是同构的,从而建立起完备剩余格环境下的L-集表现定理。
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| 关 键 词： | 完备剩余格 L-集 L-集合套 表现定理 |
Classical Isomorphic Objects of Complete Residuated Power Set Lattices |
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| FANG Jin-Ming,HAN Hui.Classical Isomorphic Objects of Complete Residuated Power Set Lattices[J].Periodical of Ocean University of China,2011(Z1):193-196. |
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| Authors: | FANG Jin-Ming HAN Hui |
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| Institution: | FANG Jin-Ming,HAN Hui(School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China) |
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| Abstract: | In this paper,the tensor and residuum operations of L-nested systems are introduced under the condition that the lattice is a complete residuated lattice.Then we show L-nested systems form a complete residuated lattice,which is precisely the classical isomorphic object of complete residuated power set lattice.Thus the new representation theorem of L-subsets on the condition of complete residuated lattice is obtained in the paper. |
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| Keywords: | complete residuated lattices L-subsets L-nested systems representation theorems |
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