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Zbl 1141.06305
Wu, Xiuhua; Li, Qingguo
Characterizations and functions of semicontinuous lattices. (Chinese. English summary)
[J] J. Math. Res. Expo. 27, No. 3, 654-658 (2007). ISSN 1000-341X

Summary: In this paper, we mainly discuss some properties of semicontinuous lattices and give characterizations of semicontinuous lattices. We also define functions between two semicontinuous lattices and obtain conditions under which the image of a closure operator is also semicontinuous. Finally we study a property of fixed points of semicontinuous lattices.
MSC 2000:
*06B35 Continuous lattices

Keywords: semiprime ideal; semicontinuous lattice; semicontinuous function; Galois connection retract

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