The sheaf representation of residuated lattices
General Topology
2023-06-22 v2
Abstract
The residuated lattices form one of the most important algebras of fuzzy logics and have been heavily studied by people from various different points of view. Sheaf presentations provide a topological approach to many algebraic structures. In this paper, we study the topological properties of prime spectrum of residuated lattices, and then construct a sheaf space to obtain a sheaf representation for each residuated lattice.
Keywords
Cite
@article{arxiv.2211.15922,
title = {The sheaf representation of residuated lattices},
author = {Huarong Zhang and Dongsheng Zhao},
journal= {arXiv preprint arXiv:2211.15922},
year = {2023}
}
Comments
This is a paper presented at ISDT9