Ziegler Spectra of Serial Rings
Logic
2024-12-23 v1 Rings and Algebras
Representation Theory
Abstract
In this paper we prove that the Ziegler spectra of all serial rings are sober. We then use this proof to give a general framework for computing and understanding Ziegler spectra of uniserial rings up to topological indistinguishability. Finally, we illustrate this technique by computing the Ziegler spectra of all rank one uniserial domains up to topological indistinguishability.
Cite
@article{arxiv.1711.01673,
title = {Ziegler Spectra of Serial Rings},
author = {Lorna Gregory and Gena Puninski},
journal= {arXiv preprint arXiv:1711.01673},
year = {2024}
}
Comments
30 pages