The Riesz hull of a semisimple MV-algebra
Denisa Diaconescu, Ioana Leustean

TL;DR
This paper introduces the Riesz hull construction for semisimple MV-algebras, extending the concept of vector-lattice hulls from lattice-ordered groups to the setting of MV-algebras, enriching their algebraic structure.
Contribution
It defines the Riesz hull for semisimple MV-algebras, bridging the gap between MV-algebras and Riesz spaces through a novel categorical construction.
Findings
Riesz hull of a semisimple MV-algebra is well-defined.
Establishes categorical equivalence with Riesz spaces.
Provides a new tool for analyzing MV-algebras.
Abstract
MV-algebras and Riesz MV-algebras are categorically equivalent to abelian lattice-ordered groups with strong unit and, respectively, with Riesz spaces (vector-lattices) with strong unit. A standard construction in the literature of lattice-ordered groups is the vector-lattice hull of an archimedean lattice-ordered group. Following a similar approach, in this paper we define the Riesz hull of a semisimple MV-algebra.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
