GENERALIZATIONS AND CARTESIAN CLOSED SUBCATEGORIES OF SEMICONTINUOUS LATTICES

GENERALIZATIONS AND CARTESIAN CLOSED SUBCATEGORIES OF SEMICONTINUOUS LATTICES
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半连续格子的泛化和笛卡尔闭子范畴

DOI:
10.1016/s0252-9602(09)60109-0
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发表时间:
2009-09-01
影响因子:
1
通讯作者:
Wu Xiuhua
Wu Xiuhua
中科院分区:
数学3区
文献类型:
--
作者:
Li Qingguo;Wu Xiuhua

文献摘要

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In this article, the authors mainly study how to obtain new semicontinuous lattices from the given semicontinuous lattices and discuss the conditions under which the image of a semicontinuous projection operator is also semicontinuous. Moreover, the authors investigate the relation between semicontinuous lattices and completely distributive lattices. Finally, it is proved that the strongly semicontinuous lattice category is a Cartesian closed category.