张量三角几何中的德摩根定律
De Morgan's Laws in Tensor-Triangular Geometry
首次发表
浏览论文内容
中文总结 AI 辅助
本文研究本质小tt-范畴的根基厚张量理想框架与巴尔默谱霍赫斯特对偶开集框架的同构，借此给出满足第二德摩根定律变体的tt-范畴的内禀定义及构造方法。
中文摘要 AI 辅助
本质小tt-范畴的根基厚张量理想的框架，与其巴尔默谱的霍赫斯特对偶的开集框架之间存在同构。该同构可将后者的拓扑性质与前者的tt-几何性质进行比较，我们借此给出满足第二德摩根定律变体的tt-范畴的内禀定义，并进一步给出构造此类tt-范畴的方法。
英文摘要
There is an isomorphism between the frame of radical thick tensor ideals of an essentially small tt-category and the frame of open sets of the Hochster dual of its Balmer spectrum. This isomorphism allows us to compare topological properties of the latter with tt-geometric properties of the former. We use this to give an intrinsic definition of those tt-categories which satisfy a variant of the second De Morgan law, and furthermore give a construction for producing such tt-categories.
