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Lawson-Hoffmann对偶定理的推广
引用本文:赵东升,赵彬.Lawson-Hoffmann对偶定理的推广[J].数学学报,1998,41(6):0-1332.
作者姓名:赵东升  赵彬
作者单位:[1]南洋理工大学数学系 [2]陕西师范大学数学系
基金项目:国家自然科学基金!19701020,国家教委年轻教师基金
摘    要:本文讨论了Z-连续偏序集的一系列性质,主要证明了Z-连续偏序集范畴对偶等价于完全分配格范畴的一个满子范畴.

关 键 词:z-连续偏序集  完全分配格  对偶等价

Generalization of Lawson-Hoffmann Duality
Zhao Dongsheng.Generalization of Lawson-Hoffmann Duality[J].Acta Mathematica Sinica,1998,41(6):0-1332.
Authors:Zhao Dongsheng
Institution:Zhao Dongsheng (Division of Mathematics, School of Science, Nayang Technological University, 259756, Singapore) Zhao Bin (Depertment of Mathematics, Shaanxi Hormal Universiyt, Xi'an 710062, China)
Abstract:In this paper, we mainly prove that the category Of z-continuous posets is dually equivalent to a full subcategory of the category of all completely distributive lattices. Some other new properties of z-continuous posets are also investigated.
Keywords:z-continuous poset  Completely distributive lattices  Dual equivalence
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