Nearly Spectral Spaces
General Topology
2022-03-30 v1 Commutative Algebra
Category Theory
Abstract
We study some natural generalizations of the spectral spaces in the contexts of commutative rings and distributive lattices. We obtain a topological characterization for the spectra of commutative (not necessarily unitary) rings and we find spectral versions for the up-spectral and down-spectral spaces. We show that the duality between distributive lattices and Balbes-Dwinger spaces is the co-equivalence associated to a pair of contravariant right adjoint functors between suitable categories.
Cite
@article{arxiv.1706.05330,
title = {Nearly Spectral Spaces},
author = {Lorenzo Acosta G. and I. Marcela Rubio P},
journal= {arXiv preprint arXiv:1706.05330},
year = {2022}
}
Comments
14 pages, 1 Tikz figure