Open AccessSpectral-like duality for Distributive Hilbert Algebras with Infimum
Author(s) -
Sergio A. Celani,
Maria J. Esteban,
Ramón Jansana
Publication year - 2018
Publication title -
epic series in computing
Language(s) - English
Resource type - Conference proceedings
ISSN - 2398-7340
DOI - 10.29007/2fsc
Subject(s) - infimum and supremum , duality (order theory) , distributive property , mathematics , class (philosophy) , pure mathematics , scope (computer science) , algebra over a field , discrete mathematics , computer science , artificial intelligence , programming language
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.