Topological MV-algebras (Q1384202)

The author gives the concept of a topological MV-algebra and studies its completion under the \(I\)-adic topology, \(I\) being a proper ideal of the MV-algebra. Several properties of this topology are studied, like Hausdorffness and completeness, pointing out the corresponding algebraic properties. These results parallel those for topological rings, but these are substantially different because an MV-algebra is not a ring. Relationships between the \(I\)-adic topology and fuzzy ideals are also studied.