Pseudocomplementation in rings of continuous functions
General Topology
2026-03-31 v1 Commutative Algebra
Rings and Algebras
Abstract
We study rings of real-valued continuous functions in terms of pseudocomplementation conditions on various lattices attached to their prime spectrum. We fully characterize pseudocomplementation in all cases and have an almost complete characterization of relative pseudocomplementation.
Cite
@article{arxiv.2603.28165,
title = {Pseudocomplementation in rings of continuous functions},
author = {Guram Bezhanishvili and Marcus Tressl},
journal= {arXiv preprint arXiv:2603.28165},
year = {2026}
}
Comments
20 pages