Principal congruences in weak Heyting algebras
- Autores
- San Martín, Hernán Javier
- Año de publicación
- 2016
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Let A be a weak Heyting algebra and let a, b ∈ A. We give a description for the congruence generated by the pair (a, b), and we use it in order to give a necessary and sufficient condition for a function f : Ak → A to be compatible with every congruence of A. We also find conditions on a not necessarily polynomial function g(a, b) in A that imply that the function a → min{b ∈ A : g(a, b) ≤ b} is compatible when defined.
Facultad de Ciencias Exactas - Materia
- Matemática
- Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
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- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/138934
Ver los metadatos del registro completo
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Principal congruences in weak Heyting algebrasSan Martín, Hernán JavierMatemáticaLet A be a weak Heyting algebra and let a, b ∈ A. We give a description for the congruence generated by the pair (a, b), and we use it in order to give a necessary and sufficient condition for a function f : Ak → A to be compatible with every congruence of A. We also find conditions on a not necessarily polynomial function g(a, b) in A that imply that the function a → min{b ∈ A : g(a, b) ≤ b} is compatible when defined.Facultad de Ciencias Exactas2016-04-20info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf405-418http://sedici.unlp.edu.ar/handle/10915/138934enginfo:eu-repo/semantics/altIdentifier/issn/0002-5240info:eu-repo/semantics/altIdentifier/issn/1420-8911info:eu-repo/semantics/altIdentifier/doi/10.1007/s00012-016-0381-4info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:24:19Zoai:sedici.unlp.edu.ar:10915/138934Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:24:20.097SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Principal congruences in weak Heyting algebras |
| title |
Principal congruences in weak Heyting algebras |
| spellingShingle |
Principal congruences in weak Heyting algebras San Martín, Hernán Javier Matemática |
| title_short |
Principal congruences in weak Heyting algebras |
| title_full |
Principal congruences in weak Heyting algebras |
| title_fullStr |
Principal congruences in weak Heyting algebras |
| title_full_unstemmed |
Principal congruences in weak Heyting algebras |
| title_sort |
Principal congruences in weak Heyting algebras |
| dc.creator.none.fl_str_mv |
San Martín, Hernán Javier |
| author |
San Martín, Hernán Javier |
| author_facet |
San Martín, Hernán Javier |
| author_role |
author |
| dc.subject.none.fl_str_mv |
Matemática |
| topic |
Matemática |
| dc.description.none.fl_txt_mv |
Let A be a weak Heyting algebra and let a, b ∈ A. We give a description for the congruence generated by the pair (a, b), and we use it in order to give a necessary and sufficient condition for a function f : Ak → A to be compatible with every congruence of A. We also find conditions on a not necessarily polynomial function g(a, b) in A that imply that the function a → min{b ∈ A : g(a, b) ≤ b} is compatible when defined. Facultad de Ciencias Exactas |
| description |
Let A be a weak Heyting algebra and let a, b ∈ A. We give a description for the congruence generated by the pair (a, b), and we use it in order to give a necessary and sufficient condition for a function f : Ak → A to be compatible with every congruence of A. We also find conditions on a not necessarily polynomial function g(a, b) in A that imply that the function a → min{b ∈ A : g(a, b) ≤ b} is compatible when defined. |
| publishDate |
2016 |
| dc.date.none.fl_str_mv |
2016-04-20 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
| dc.identifier.none.fl_str_mv |
http://sedici.unlp.edu.ar/handle/10915/138934 |
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http://sedici.unlp.edu.ar/handle/10915/138934 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
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info:eu-repo/semantics/altIdentifier/issn/0002-5240 info:eu-repo/semantics/altIdentifier/issn/1420-8911 info:eu-repo/semantics/altIdentifier/doi/10.1007/s00012-016-0381-4 |
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info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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openAccess |
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http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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application/pdf 405-418 |
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13.22299 |