截断向量格的Johnson-Kist型表示
A Johnson-Kist type representation for truncated vector lattices
摘要：
我们介绍的概念（最大）多截断向量格截断的概念，最近的起源对象的推广。我们得到了具有极大多重截断的向量格的Johnson-Kist型表示，即几乎有限延拓实连续函数的向量格。允许这种表示的谱是一组特殊的素理想，它们具有包核拓扑。现有文献中的各种表示将作为我们一般结果的特例出现。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
