Huarong Zhang ; Dongsheng Zhao - The sheaf representation of residuated lattices

entics:10399 - Electronic Notes in Theoretical Informatics and Computer Science, March 21, 2023, Volume 2 - Proceedings of ISDT 9 - https://doi.org/10.46298/entics.10399
The sheaf representation of residuated latticesArticle

Authors: Huarong Zhang ; Dongsheng Zhao

    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.


    Volume: Volume 2 - Proceedings of ISDT 9
    Published on: March 21, 2023
    Accepted on: December 6, 2022
    Submitted on: November 30, 2022
    Keywords: Mathematics - General Topology

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