Representation of BL-algebras with finite independent spectrum
| Autor: | Jos Luis Castiglioni, Manuela Busaniche, Noem Lubomirsky, Stefano Aguzzoli |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Class (set theory)
Matemáticas Logic Generalization 02 engineering and technology 01 natural sciences RESIDUATED LATTICES POSET PRODUCT Matemática Pura Artificial Intelligence FINITE SPECTRUM WAJSBERG HOOPS 0202 electrical engineering electronic engineering information engineering 0101 mathematics Algebra over a field Representation (mathematics) Bl algebras BL-ALGEBRAS Mathematics Representation theorem 010102 general mathematics Spectrum (functional analysis) Algebra ORDINAL SUM 020201 artificial intelligence & image processing Ordinal sum CIENCIAS NATURALES Y EXACTAS |
| Zdroj: | Fuzzy Sets and Systems. 311:15-32 |
| ISSN: | 0165-0114 |
| DOI: | 10.1016/j.fss.2016.09.002 |
| Popis: | A representation theorem for a class of BL-algebras with finite spectrum is presented. Although the class comprised by our result is not the whole class of BL-algebras with finite spectrum, it applies to some important classes such as finite BL-algebras and BL-chains with finite spectrum among others. Our representation constitutes a generalization of the ordinal sum construction, since we decompose each algebra in terms of totally ordered Wajsberg hoops. Fil: Aguzzoli, Stefano. Università degli Studi di Milano; Italia Fil: Busaniche, Manuela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina Fil: Castiglioni, José Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Lubomirsky, Noemí. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina |
| Databáze: | OpenAIRE |
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