论文标题
非共同的石材二元性
Non-commutative Stone duality
论文作者
论文摘要
我们明确地表明，布尔的反向半群与我们称为布尔群的二重性是双重性的。这概括了经典的石头双重性，我们称之为通用的布尔代数和当地紧凑的Hausdorff $ 0 $二维空间之间。
We show explicitly that Boolean inverse semigroups are in duality with what we term Boolean groupoids. This generalizes the classical Stone duality, which we refer to as commutative Stone duality, between generalized Boolean algebras and locally compact Hausdorff $0$-dimensional spaces.
