Equational Classes of Totally Ordered Modal Lattices

A modal lattice is a bounded distributive lattice endowed with a unary operator which preserves the join-operation and the smallest element. In this paper we consider the variety CH of modal lattices that is generated by the totally ordered modal lattices and we characterize the lattice of subvariet...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Petrovich, A.
Formato: JOUR
Materias:
Modal lattices
Priestley relations
Priestley spaces
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_01678094_v16_n1_p1_Petrovich
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_01678094_v16_n1_p1_Petrovich
record_format dspace
spelling todo:paper_01678094_v16_n1_p1_Petrovich2023-10-03T15:05:22Z Equational Classes of Totally Ordered Modal Lattices Petrovich, A. Modal lattices Priestley relations Priestley spaces A modal lattice is a bounded distributive lattice endowed with a unary operator which preserves the join-operation and the smallest element. In this paper we consider the variety CH of modal lattices that is generated by the totally ordered modal lattices and we characterize the lattice of subvarieties of CH. We also give an equational basis for each subvariety of CH. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01678094_v16_n1_p1_Petrovich
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Modal lattices
Priestley relations
Priestley spaces
spellingShingle Modal lattices
Priestley relations
Priestley spaces
Petrovich, A.
Equational Classes of Totally Ordered Modal Lattices
topic_facet Modal lattices
Priestley relations
Priestley spaces
description A modal lattice is a bounded distributive lattice endowed with a unary operator which preserves the join-operation and the smallest element. In this paper we consider the variety CH of modal lattices that is generated by the totally ordered modal lattices and we characterize the lattice of subvarieties of CH. We also give an equational basis for each subvariety of CH.
format JOUR
author Petrovich, A.
author_facet Petrovich, A.
author_sort Petrovich, A.
title Equational Classes of Totally Ordered Modal Lattices
title_short Equational Classes of Totally Ordered Modal Lattices
title_full Equational Classes of Totally Ordered Modal Lattices
title_fullStr Equational Classes of Totally Ordered Modal Lattices
title_full_unstemmed Equational Classes of Totally Ordered Modal Lattices
title_sort equational classes of totally ordered modal lattices
url http://hdl.handle.net/20.500.12110/paper_01678094_v16_n1_p1_Petrovich
work_keys_str_mv AT petrovicha equationalclassesoftotallyorderedmodallattices
_version_ 1807318183923679232

Ejemplares similares