Artículo
Cignoli, R.; Mundici, D. "An elementary presentation of the equivalence between MV-algebras and ℓ-groups with strong unit" (1998) Studia Logica. 61(1):49-64
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Abstract:
Aim of this paper is to provide a self-contained presentation of the natural equivalence Γ between MV-algebras and lattice-ordered abelian groups with strong unit. © 1998 Kluwer Academic Publishers.
Registro:
| Documento: | Artículo |
| Título: | An elementary presentation of the equivalence between MV-algebras and ℓ-groups with strong unit |
| Autor: | Cignoli, R.; Mundici, D. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas, Ciudad Universitaria, 1428 Buenos Aires, Argentina Department of Computer Science, University of Milan, Via Comelico 39-41, 20135 Milan, Italy |
| Palabras clave: | Chang's group; Good sequences; Lattice-ordered abelian groups; MV-algebras; Natural equivalence; Γ functor |
| Año: | 1998 |
| Volumen: | 61 |
| Número: | 1 |
| Página de inicio: | 49 |
| Página de fin: | 64 |
| DOI: | http://dx.doi.org/10.1023/A:1005078213630 |
| Título revista: | Studia Logica |
| Título revista abreviado: | Stud. Logica |
| ISSN: | 00393215 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393215_v61_n1_p49_Cignoli |
Referencias:
- Chang, C.C., Algebraic analysis of many-valued logics (1958) Trans. Amer. Math. Soc., 88, pp. 467-490
- Chang, C.C., A new proof of the completeness of the Łukasiewicz axioms (1959) Trans. Amer. Math. Soc., 93, pp. 74-80
- Cignoli, R., Mundici, D., An elementary proof of Chang's completeness theorem for the infinite-valued calculus of Łukasiewicz (1997) Studia, Logica, 58, pp. 79-97. , special issue on the Mathematical Treatment of Uncertain Information, EwaOrłowska, Editor
- Cignoli, R., Torrens, A., The poset of prime ℓ-ideals of an abelian ℓ-group with a strong unit (1996) Journal of Algebra, 184, pp. 604-612. , [4]
- Mundici, D., Interpretation of AF C*-algebras in Łukasiewicz sentential calculus (1986) J. Functional Analysis, 65, pp. 15-63
Citas:
---------- APA ----------
Cignoli, R. & Mundici, D. (1998) . An elementary presentation of the equivalence between MV-algebras and ℓ-groups with strong unit. Studia Logica, 61(1), 49-64.http://dx.doi.org/10.1023/A:1005078213630
---------- CHICAGO ----------
Cignoli, R., Mundici, D. "An elementary presentation of the equivalence between MV-algebras and ℓ-groups with strong unit" . Studia Logica 61, no. 1 (1998) : 49-64.http://dx.doi.org/10.1023/A:1005078213630
---------- MLA ----------
Cignoli, R., Mundici, D. "An elementary presentation of the equivalence between MV-algebras and ℓ-groups with strong unit" . Studia Logica, vol. 61, no. 1, 1998, pp. 49-64.http://dx.doi.org/10.1023/A:1005078213630
---------- VANCOUVER ----------
Cignoli, R., Mundici, D. An elementary presentation of the equivalence between MV-algebras and ℓ-groups with strong unit. Stud. Logica. 1998;61(1):49-64.http://dx.doi.org/10.1023/A:1005078213630
