Representation of BL-algebras with finite independent spectrum
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 other...
| Authors: | , , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2016 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/31882 |
| Online Access: | http://hdl.handle.net/11336/31882 |
| Access Level: | Open access |
| Keyword: | Bl-Algebras Ordinal Sum Finite Spectrum Residuated Lattices Poset Product Wajsberg Hoops https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Summary: | 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. |
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