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

5 pages•Published: July 28, 2014

Vincenzo Marra, Daniel Mcneill and Andrea Pedrini

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:	https://easychair.org/publications/paper/wF
	https://doi.org/10.29007/bt3m

BibTeX entry

@inproceedings{TACL2013:Spectra_finitely_presented_lattice,
  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},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {/publications/paper/wF},
  doi       = {10.29007/bt3m},
  pages     = {153-157},
  year      = {2014}}

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