Maximal $d$-spectra via Priestley duality
General Topology
2025-12-01 v2
Abstract
We use Priestley duality as a new tool to study maximal -spectra of arithmetic frames, both with and without units. We pay special attention to when the maximal -spectrum is compact or Hausdorff. Various necessary and sufficient conditions are given, including a construction of an arithmetic frame with a unit whose maximal -spectrum is not Hausdorff, thus resolving an open problem in the literature.
Cite
@article{arxiv.2501.07673,
title = {Maximal $d$-spectra via Priestley duality},
author = {G. Bezhanishvili and P. Bhattacharjee and S. D. Melzer},
journal= {arXiv preprint arXiv:2501.07673},
year = {2025}
}