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arXiv · 2211.15922

The sheaf representation of residuated lattices

Huarong Zhang·Dongsheng Zhao
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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.

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Huarong Zhang, Dongsheng Zhao. 2022-11-29. The sheaf representation of residuated lattices. https://doi.org/10.46298/entics.10399

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