The dual of a generalized completely distributive lattice is a hypercontinuous lattice |
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Authors: | Jinbo Yang Xiaoquan Xu |
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Affiliation: | 1. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, 330022, Jiangxi, P. R. China
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Abstract: | In this short note, we prove that a complete lattice is a generalized completely distributive lattice if and only if its order dual is a hypercontinuous lattice. |
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