| Strongly Pseudoalgebraic Lattices |
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| 作者姓名： | 杨金波 |
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| 作者单位： | Yang Jinbo (杨金波) (Department of Mathematics，Jiangxi Normal University，Nanchang，330027) |
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| 基金项目： | Project supported by the NSF of China and the NSF of Jiangxi Province. |
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| 摘 要： | In the recent twenty years,the generalizations of continuous lattices have attracted aconsiderable deal of attention (see 1 -6] ) .The so-called generalized continuous lat-tices(GCL) (see2 ] ) is one of the most successful generalizations of continuous lat-tices.In 1 990 ,Venugopalan gave the definition of pseudoalgebraic lattice and provedthat a complete lattice is a compact totally order-disconnected(Preistley) space with re-spect to the Lawson topology if and only if it is a pseadoalgeb…
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Strongly Pseudoalgebraic Lattices |
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| Yang Jinbo.Strongly Pseudoalgebraic Lattices[J].Northeastern Mathematical Journal,1999(4). |
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| Authors: | Yang Jinbo |
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| Abstract: | The structure theory of domains and their generalizations play a crucial role in denotational semantics as developed by Scott and his followers. In this paper, we introduce strongly pseudoalgebraic lattices and give them some characterizations. |
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| Keywords: | Strongly Pseudoalgebraic Lattice Strongly Algebraic Lattice Generalized Completely Distributive Lattice Lower Topology |
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