论文标题

残留晶格的捆捆

The sheaf representation of residuated lattices

论文作者

Zhang, Huarong, Zhao, Dongsheng

论文摘要

残留的晶格构成了模糊逻辑中最重要的代数之一,并且已经被各种不同观点的人们大量研究。捆式演示为许多代数结构提供了拓扑方法。在本文中,我们研究了残留晶格的原始光谱的拓扑特性,然后构建一个分层空间,以获得每个残留的晶格的捆式表示。

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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