论文标题
基于分布晶格的融合和含义的模块：表示和二元性
Modules with fusion and implication based over distributive lattices: Representation and Duality
论文作者
论文摘要
在本文中，我们简要介绍了基于分配晶格或FIDL模块的融合和含义的模块类别。我们介绍了Fidl-Subalgebra和Fidl-Congruence的概念，以及简单且单向不可减少的FIDL模型的概念。我们为FIDL模型提供了双层的Priestley二重性，此外，作为这种二元性的应用，我们提供了对Fidl-Congruence的拓扑间隔的描述。该结果将使我们能够表征简单且细微的不可还原的FIDL模型。
In this paper we study the class of modules with fusion and implication based over distributive lattices, or FIDL-modules, for short. We introduce the concepts of FIDL-subalgebra and FIDL-congruence as well as the notions of simple and subdirectly irreducible FIDL-modules. We give a bi-sorted Priestley-like duality for FIDL-modules and moreover, as an application of such a duality, we provide a topological bi-spaced description of the FIDL-congruences. This result will allows us to characterize the simple and subdirectly irreducible FIDL-modules.
