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中文摘要：
对闭格进行研究，给出了闭格的等价刻画，讨论了闭格与 Locale 的关系，并证明了闭格的笛卡尔乘积仍是闭格。同时，得到了闭格在保任意并的满态射下仍是闭格，最后证明了闭格在闭包运算下的像是闭格。
英文摘要：
In this paper,we investigated some properties of the closed lattices and gave their character-izations.The relationship between the Locale and the closed lattice was investigated.It is proved that the Cartesian product of the close lattice is still closed lattice.Moreover,we obtained the result that the closed lattice under a surj ective map preserving arbitrary sups is still the closed lattice.Finally,we studied the property of the image of the closed lattice under the closure operator.
同期刊论文项目
同项目期刊论文
Some New Intrinsic Topologies on Complete Lattices and the Cartesian Closedness of the Category of S
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