On the Hierarchy of Equivalence Classes Provided by Local Congruences

In this work, we consider a special kind of equivalence relations, which are called local congruences. Specifically, local congruences are equivalence relations defined on lattices, whose equivalence classes are convex sublattices of the original lattices. In the present paper, we introduce an initi...

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Autores principales: Aragón, Roberto G., Medina, Jesús, Ramírez-Poussa, Eloísa
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7338160/
http://dx.doi.org/10.1007/978-3-030-52705-1_22
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author Aragón, Roberto G.
Medina, Jesús
Ramírez-Poussa, Eloísa
author_facet Aragón, Roberto G.
Medina, Jesús
Ramírez-Poussa, Eloísa
author_sort Aragón, Roberto G.
collection PubMed
description In this work, we consider a special kind of equivalence relations, which are called local congruences. Specifically, local congruences are equivalence relations defined on lattices, whose equivalence classes are convex sublattices of the original lattices. In the present paper, we introduce an initial study about how the set of equivalence classes provided by a local congruence can be ordered.
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spelling pubmed-73381602020-07-07 On the Hierarchy of Equivalence Classes Provided by Local Congruences Aragón, Roberto G. Medina, Jesús Ramírez-Poussa, Eloísa Rough Sets Article In this work, we consider a special kind of equivalence relations, which are called local congruences. Specifically, local congruences are equivalence relations defined on lattices, whose equivalence classes are convex sublattices of the original lattices. In the present paper, we introduce an initial study about how the set of equivalence classes provided by a local congruence can be ordered. 2020-06-10 /pmc/articles/PMC7338160/ http://dx.doi.org/10.1007/978-3-030-52705-1_22 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Aragón, Roberto G.
Medina, Jesús
Ramírez-Poussa, Eloísa
On the Hierarchy of Equivalence Classes Provided by Local Congruences
title On the Hierarchy of Equivalence Classes Provided by Local Congruences
title_full On the Hierarchy of Equivalence Classes Provided by Local Congruences
title_fullStr On the Hierarchy of Equivalence Classes Provided by Local Congruences
title_full_unstemmed On the Hierarchy of Equivalence Classes Provided by Local Congruences
title_short On the Hierarchy of Equivalence Classes Provided by Local Congruences
title_sort on the hierarchy of equivalence classes provided by local congruences
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7338160/
http://dx.doi.org/10.1007/978-3-030-52705-1_22
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