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| Complete Surjections and Complete Epimorphisms over Completely Distributive Lattices | |
| 引用本文： | 李永明,李志慧. Complete Surjections and Complete Epimorphisms over Completely Distributive Lattices[J]. 东北数学, 1997, 0(3) |
| 作者姓名： | 李永明 李志慧 |
| 作者单位： | Department of Basic Science，Northwestern Institute of Architectural Engineering，Xi'an，710061 Department of Automatic Control，Northwestem Ploytechnical University，xi'an，710072，Department of Mathematics，Shaanxi Normal University，Xi'an，710062 |
| 摘 要： | Generators and lattice properties of the poset of complete homomorphisic images of a completely distributive lattice are exploited via the localic methods. Some intrinsic and extrinsic conditions about this poset to be a completely distributive lattice are given. It is shown that the category of completely distributive lattices is co-well-powered,and complete epimorphisms on completely distributive lattice are not necessary to be surjections. Finally, some conditions about complete epimorphisms to be surjections are given. |
Complete Surjections and Complete Epimorphisms over Completely Distributive Lattices |
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| Li Yongming. Complete Surjections and Complete Epimorphisms over Completely Distributive Lattices[J]. Northeastern Mathematical Journal, 1997, 0(3) | |
| Authors: | Li Yongming |
| Abstract: | Generators and lattice properties of the poset of complete homomorphisic images of a completely distributive lattice are exploited via the localic methods. Some intrinsic and extrinsic conditions about this poset to be a completely distributive lattice are given. It is shown that the category of completely distributive lattices is co-well-powered,and complete epimorphisms on completely distributive lattice are not necessary to be surjections. Finally, some conditions about complete epimorphisms to be surjections are given. |
| Keywords: | Completely Distributive Lattice Complete Nucleus Stable Complete Ring of Sets Complete Epimorphism Complete Surjection |
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