Download PDFOpen PDF in browserSpectra of finitely presented lattice-ordered Abelian groups and MV-algebras, part 25 pages•Published: July 28, 2014AbstractThis is the second part of a series of two abstracts, the first being by Andrea Pedrini. For background and notation on lattice-ordered Abelian groups, vector lattices and Q-vector lattices, and their spectral spaces, please see her submission.We consider the tools of Stone duality and the absolute applied to lattice-ordered Abelian groups, vector lattices and Q-vector lattices. Given a lattice-ordered Abelian group or Q-vector lattice, G, this leads to an interesting parallel between Min(G) and the absolute of Max(G). Keyphrases: lattice ordered abelian group, lukasiewicz logic, mv algebra, spectral space, stone duality, strong order unit, vector lattice In: Nikolaos Galatos, Alexander Kurz and Constantine Tsinakis (editors). TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic, vol 25, pages 153-157.
|