论文标题
截断矢量晶格的Johnson-Kist类型表示
A Johnson-Kist type representation for truncated vector lattices
论文作者
论文摘要
我们在向量晶格上介绍了（最大）多截断的概念，作为截断概念的概括，这是最近起源的对象。我们获得了具有最大多截断的向量晶格的约翰逊 - 基斯类型表示，作为几乎限制的扩展连续函数的矢量晶格。允许这种表示的频谱是配备船体内核拓扑的一组特定的主要理想。现有文献中的各种表示形式将是我们总体结果的特殊情况。
We introduce the notion of (maximal) multi-truncations on a vector lattice as a generalization of the notion of truncations, an object of recent origin. We obtain a Johnson-Kist type representation of vector lattices with maximal multi-truncations as vector lattices of almost-finite extended-real continuous functions. The spectrum that allow such a representation is a particular set of prime ideals equipped with the hull-kernel topology. Various representations from the existing literature will appear as special cases of our general result.
