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完备格间的保交并映射
引用本文:熊凤兰,刘翠英.完备格间的保交并映射[J].中国海洋大学学报(自然科学版),1993(3).
作者姓名:熊凤兰  刘翠英
作者单位:青岛海洋大学 (熊凤兰),青岛大学(刘翠英)
摘    要:本文探讨了格的代数同态的性质和应用,证明了从完备格L_1到L_2的保交、保并的满射φ将L_1的邻元系、滤敛关系、网敛关系分别映成L_2的邻元系、滤剑关系、网敛关系。

关 键 词:格拓扑  保交保并的满射  邻元系  滤敛关系  网敛关系

THE SURJECTION WITH UNION AND INTERSECTION PRESERVING BETWEEN COMPLETE LATTICES
Xiong Fenglan.THE SURJECTION WITH UNION AND INTERSECTION PRESERVING BETWEEN COMPLETE LATTICES[J].Periodical of Ocean University of China,1993(3).
Authors:Xiong Fenglan
Institution:Department of Applied Mathematics
Abstract:In this paper, the author proves that if (?) is a surjection with union and intersection preserving between complete lattices, then the images, which are mapped by (?), of the neighbourhood structures, the filter - convergence relations and net - convergence relations of lattice are the neighbourhood structures, filter-convergence relations and net -convergence relations of lattice L2.
Keywords:Latticized topology  surjection with union and intersection preserving  neighbourhood system  filter - convergent relations  net-convergence relations  
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