The sheaf representation of residuated lattices
Huarong Zhang, Dongsheng Zhao · Electronic Notes in Theoretical Informatics and Computer Science · 2023
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. Comment: This is a paper presented at ISDT9