On finite MTL-algebras that are representable as poset products of archimedean chains
| Autor: | William J. Zuluaga Botero, José Luis Castiglioni |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Pure mathematics Logic Unital Duality (mathematics) MTL-ALGEBRAS purl.org/becyt/ford/1.1 [https] 02 engineering and technology POSET PRODUCT purl.org/becyt/ford/1 [https] Mathematics::Logic 020901 industrial engineering & automation Artificial Intelligence Computer Science::Logic in Computer Science 0202 electrical engineering electronic engineering information engineering SHEAVES REPRESENTATIONS 020201 artificial intelligence & image processing Partially ordered set Computer Science::Formal Languages and Automata Theory Mathematics |
| Zdroj: | CONICET Digital (CONICET) Consejo Nacional de Investigaciones Científicas y Técnicas instacron:CONICET |
| Popis: | 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. Fil: Castiglioni, José Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina Fil: Zuluaga Botero, William Javier. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina |
| Databáze: | OpenAIRE |
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