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| STRONGLY ALGEBRAIC LATTICES AND CONDITIONS OF MINIMAL MAPPING PRESERVING INFS |
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Citation： |
Xu Xiaoquan.STRONGLY ALGEBRAIC LATTICES AND CONDITIONS OF MINIMAL MAPPING PRESERVING INFS[J].Chinese Annals of Mathematics B,1994,15(1):105~114 |
| Page view： 1164
Net amount： 783 |
Authors： |
Xu Xiaoquan; |
Foundation： |
Project supported by the Natural Science Foundation of Jiangxi Province, and partly by the National |
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| Abstract： |
The author gives some characterizations of strongly
algebraic lattices, and proves that the category of strongly
algebraic lattices is complete and cocomplete. Finally, this
paper gives the complete conditions under which the minimal
mapping $\be: L\to 2^L$ on a completely distributive lattice
$L$ preserves finite infs and arbitrary infs. |
Keywords： |
Strongly algebraic lattice, Category of strongly algebraic lattices,Completeness and cocompleteness, Minimal mapping. |
Classification： |
06B05,06B10,18A30 |
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