Spectral-like duality for Distributive Hilbert Algebras with Infimum

4 pages•Published: July 28, 2014

Sergio A. Celani, María Esteban and Ramón Jansana

Abstract

We present the results of our research on stone-type dualities for certain classes of ordered algebras that do not fall within the scope of extended Priestley-duality. In a forthcoming paper we study a new spectral-like duality for the class of distributive Hilbert algebras with infimum. We explain the main facts of that duality and we outline how the same strategy could be used for getting a Priestley-style duality for the same class of algebras, as well as dualities for other classes of algebras.

Keyphrases: hilbert algebras, ordered algebraic structures, semilattices, stone type dualities

In: Nikolaos Galatos, Alexander Kurz and Constantine Tsinakis (editors). TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic, vol 25, pages 68-71.

Links:	https://easychair.org/publications/paper/KRJ
	https://doi.org/10.29007/2fsc

BibTeX entry

@inproceedings{TACL2013:Spectral_like_duality_Distributive,
  author    = {Sergio A. Celani and María Esteban and Ramón Jansana},
  title     = {Spectral-like duality for Distributive Hilbert Algebras with Infimum},
  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/KRJ},
  doi       = {10.29007/2fsc},
  pages     = {68-71},
  year      = {2014}}

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