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Spectra of finitely presented lattice-ordered Abelian groups and MV-algebras, part 2

5 pagesPublished: July 28, 2014

Abstract

This 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

Links:
BibTeX entry
@inproceedings{TACL2013:Spectra_of_finitely_presented,
  author    = {Vincenzo Marra and Daniel Mcneill and Andrea Pedrini},
  title     = {Spectra of finitely presented lattice-ordered Abelian groups and MV-algebras, part 2},
  booktitle = {TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic},
  editor    = {Nikolaos Galatos and Alexander Kurz and Constantine Tsinakis},
  series    = {EPiC Series in Computing},
  volume    = {25},
  pages     = {153--157},
  year      = {2014},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {https://easychair.org/publications/paper/wF},
  doi       = {10.29007/bt3m}}
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