Hulls of ordered algebras: Projectability, strong projectability and lateral completeness

The present article, building on the aforementioned works, studies existence and uniqueness of the laterally complete, projectable and strongly projectable hulls of e-cyclic residuated lattices. While these hulls first made their appearance in the context of functional analysis, and in particular the theory of Riesz spaces, their introduction into the study of algebras of logic adds new tools and techniques in the area and opens up possibilities for a deep exploration of their logical counterparts.