A topological approach to MTL-algebras
Logic
2021-06-09 v2
Abstract
We dualize a construction of Aguzzoli-Flaminio-Ugolini of a large class of MTL-algebras from ordered quadruples consisting of a Boolean algebra, a generalized MTL-algebra, and two maps parameterizing the connection between these pieces. Our dualized construction gives a uniform way of building the extended Priestley duals of MTL-algebras in this class from the Stone duals of their Boolean skeletons, the extended Priestley duals of their radicals, and a family of closure operators associating the two. In order to facilitate this work, we also offer some new results regarding the extended Priestley duals of MTL-algebras and GMTL-algebras.
Cite
@article{arxiv.1808.00841,
title = {A topological approach to MTL-algebras},
author = {Wesley Fussner and Sara Ugolini},
journal= {arXiv preprint arXiv:1808.00841},
year = {2021}
}