info:eu-repo/semantics/article
On finite MTL-algebras that are representable as poset products of archimedean chains
Fecha
2020-03Registro en:
Castiglioni, José Luis; Zuluaga Botero, William Javier; On finite MTL-algebras that are representable as poset products of archimedean chains; Elsevier; International Journal On Fuzzy Sets And Systems; 382; 3-2020; 57-78
0165-0114
1872-6801
CONICET Digital
CONICET
Autor
Castiglioni, José Luis
Zuluaga Botero, William Javier
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.