论文标题
Priestley双重性MV代数及其他
Priestley duality for MV-algebras and beyond
论文作者
论文摘要
我们为配备了二进制双重准驾驶仪的大型分配晶格提供了有关扩展Priestley二元性的新观点。在这种方法下，非晶格二进制操作分别以双空间上的一对部分二进制操作呈现。在这种丰富的环境中，二元性代数方面的方案可能更常见地作为双空间上的一阶条件呈现。特别是，我们将一般结果专门针对多种MV代数，获得了二元性，其中方程将MV-Elgebras方程式化为一阶条件。
We provide a new perspective on extended Priestley duality for a large class of distributive lattices equipped with binary double quasioperators. Under this approach, non-lattice binary operations are each presented as a pair of partial binary operations on dual spaces. In this enriched environment, equational conditions on the algebraic side of the duality may more often be rendered as first-order conditions on dual spaces. In particular, we specialize our general results to the variety of MV-algebras, obtaining a duality for these in which the equations axiomatizing MV-algebras are dualized as first-order conditions.
