The sheaf representation of residuated lattices
arXiv:2211.15922 · doi:10.46298/entics.10399
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.
This is a paper presented at ISDT9