INVESTIGADORES
CASTIGLIONI JosÉ Luis
artículos
Título:
On finite MTL-algebras that are representable as poset products of archimedean chains
Autor/es:
CASTIGLIONI, JOSÉ LUIS; ZULUAGA BOTERO, WILLIAM JAVIER
Revista:
INTERNATIONAL JOURNAL ON FUZZY SETS AND SYSTEMS
Editorial:
Elsevier
Referencias:
Año: 2020 vol. 382 p. 57 - 78
ISSN:
0165-0114
Resumen:
We obtain a duality between the category of locally unital finite MTL-algebras and the category of finite labeled trees. In addition we prove that certain poset products of MTL-algebras are in fact, sheaves of MTL-chains over Alexandrov spaces. Finally we give a concrete description for the studied poset products in terms of direct products and ordinal sums of finite MTL-algebras.