Canonicity in subvarieties of BL-algebras
We prove that every subvariety of BL-algebras which is not finitely generated is not σ-canonical. We also prove π-canonicity for an infinite family of subvarieties of BL-algebras that are not finitely generated. To do so we study the behavior of canonical extensions of ordered sums of posets.
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2009 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/75198 |
| Online Access: | http://hdl.handle.net/11336/75198 |
| Access Level: | Open access |
| Keyword: | Bl-Algebras Canonicity Residuated Lattices Completions of Algebras https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Summary: | We prove that every subvariety of BL-algebras which is not finitely generated is not σ-canonical. We also prove π-canonicity for an infinite family of subvarieties of BL-algebras that are not finitely generated. To do so we study the behavior of canonical extensions of ordered sums of posets. |
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