| Characterizations and Functions of Semicontinuous Lattices |
| Received:May 19, 2005 Revised:November 27, 2005 |
| Key Words:
semiprime ideal semicontinuous lattice semicontinuous function Galois connection retract.
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| Fund Project:the National Natural Science Foundation of China (10471035); Specialized Research Fund for the Doctoral Program of Higher Education of China (2004194) |
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| Abstract: |
| In this paper, we mainly discuss some properties of semicontinuous lattices and give the characterizations of semicontinuous lattices. We also define functions between two semicontinuous lattices and obtain the conditions under which the image of a closure operator is also semicontinuous. Finally we study the property about fixed points of semicontinuous lattices. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.03.028 |
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