Acta mathematica scientia, Series B >
GENERALIZATIONS AND CARTESIAN CLOSED SUBCATEGORIES OF SEMICONTINUOUS LATTICES
Received date: 2007-01-28
Online published: 2009-09-20
Supported by
Sponsored by the NSFC (10471035, 10771056)
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.
LI Qiang-Guo , WU Xiu-Hua . GENERALIZATIONS AND CARTESIAN CLOSED SUBCATEGORIES OF SEMICONTINUOUS LATTICES[J]. Acta mathematica scientia, Series B, 2009 , 29(5) : 1366 -1374 . DOI: 10.1016/S0252-9602(09)60109-0
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