完备剩余幂集格的经典同构对象  

Classical Isomorphic Objects of Complete Residuated Power Set Lattices

作　　者：方进明[1] 韩慧[1] 

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2011年第1期193-196,共4页Periodical of Ocean University of China

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。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.

关 键 词：完备剩余格 L-集 L-集合套 表现定理 

分 类 号：O189.13[理学—数学]