Registro completo de metadatos
| Campo DC | Valor | Lengua/Idioma |
|---|---|---|
| dc.creator | Castiglioni, José Luis | - |
| dc.creator | San Martín, Hernán Javier | - |
| dc.date | 2018-06-22T22:35:07Z | - |
| dc.date | 2018-06-22T22:35:07Z | - |
| dc.date | 2017-10 | - |
| dc.date | 2018-06-22T15:06:50Z | - |
| dc.date.accessioned | 2019-04-29T15:30:56Z | - |
| dc.date.available | 2019-04-29T15:30:56Z | - |
| dc.date.issued | 2017-10 | - |
| dc.identifier | Castiglioni, José Luis; San Martín, Hernán Javier; l-Hemi-Implicative Semilattices; Springer; Studia Logica; 10-2017; 1-16 | - |
| dc.identifier | 0039-3215 | - |
| dc.identifier | http://hdl.handle.net/11336/49865 | - |
| dc.identifier | 1572-8730 | - |
| dc.identifier | CONICET Digital | - |
| dc.identifier | CONICET | - |
| dc.identifier.uri | http://rodna.bn.gov.ar:8080/jspui/handle/bnmm/295533 | - |
| dc.description | An l-hemi-implicative semilattice is an algebra A=(A,∧,→,1) such that (A,∧,1) is a semilattice with a greatest element 1 and satisfies: (1) for every a,b,c∈A , a≤b→c implies a∧b≤c and (2) a→a=1 . An l-hemi-implicative semilattice is commutative if if it satisfies that a→b=b→a for every a,b∈A . It is shown that the class of l-hemi-implicative semilattices is a variety. These algebras provide a general framework for the study of different algebras of interest in algebraic logic. In any l-hemi-implicative semilattice it is possible to define an derived operation by a∼b:=(a→b)∧(b→a) . Endowing (A,∧,1) with the binary operation ∼ the algebra (A,∧,∼,1) results an l-hemi-implicative semilattice, which also satisfies the identity a∼b=b∼a . In this article, we characterize the (derived) commutative l-hemi-implicative semilattices. We also provide many new examples of l-hemi-implicative semilattice on any semillatice with greatest element (possibly with bottom). Finally, we characterize congruences on the classes of l-hemi-implicative semilattices introduced earlier and we characterize the principal congruences of l-hemi-implicative semilattices. | - |
| dc.description | Fil: Castiglioni, José Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina | - |
| dc.description | Fil: San Martín, Hernán Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina | - |
| dc.format | application/pdf | - |
| dc.format | application/pdf | - |
| dc.language | eng | - |
| dc.publisher | Springer | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s11225-017-9759-3 | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s11225-017-9759-3 | - |
| dc.rights | info:eu-repo/semantics/restrictedAccess | - |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | - |
| dc.source | reponame:CONICET Digital (CONICET) | - |
| dc.source | instname:Consejo Nacional de Investigaciones Científicas y Técnicas | - |
| dc.source | instacron:CONICET | - |
| dc.subject | BOUNDED SEMILATTICES | - |
| dc.subject | CONGRUENCES | - |
| dc.subject | WEAK IMPLICATIONS | - |
| dc.subject | Matemática Pura | - |
| dc.subject | Matemáticas | - |
| dc.subject | CIENCIAS NATURALES Y EXACTAS | - |
| dc.title | l-Hemi-Implicative Semilattices | - |
| dc.type | info:eu-repo/semantics/article | - |
| dc.type | info:eu-repo/semantics/publishedVersion | - |
| dc.type | info:ar-repo/semantics/articulo | - |
| Aparece en las colecciones: | CONICET | |
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