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Abstract:

In 2006, both Gejza Jenča and Thomas Vetterlein, building on different hypotheses, represented MV-algebras through the quotient of a Boolean algebra B by a subgroup of the group of all automorphisms of B. It is shown in this article that Vetterlein's constructions are particular cases of Jenča's and that they give semisimple MV-algebras. © The Author 2012. Published by Oxford University Press. All rights reserved.

Registro:

Documento: Artículo
Título:Normal and complete Boolean ambiguity algebras and MV-pairs
Autor:De La Vega, H.
Filiación:Departamento de Matemáatica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria 1428, Buenos Aires, Argentina
Palabras clave:Boolean algebra; Boolean algebra with an automorphism group; Effect algebra; MV-algebra; MV-effect algebra
Año:2012
Volumen:20
Número:6
Página de inicio:1133
Página de fin:1152
DOI: http://dx.doi.org/10.1093/jigpal/jzr052
Título revista:Logic Journal of the IGPL
Título revista abreviado:Logic J. IGPL
ISSN:13670751
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13670751_v20_n6_p1133_DeLaVega

Referencias:

  • Cignoli, R., D'Ottaviano, I.M.L., Mundici, D., (2000) Algebraic Foundations of Many-valued Reasoning, , Kluwer Academic Publishers
  • Chovanec, F., Kôpka, F., Boolean D-posets (1997) Tatra Mountains Mathematical Publications, 10, pp. 1-15
  • Di Nola, A., Holčapec, M., Jenča, G., The category of MV-pairs (2009) Logic Journal of the IGLP, 17, pp. 395-412
  • Dvurečenskij, A., Pulmannová, S., (2000) New Trends in Quantum Structures, , Kluwer Academic Publishers
  • Foulis, D., Bennett, M., Effect algebras and unsharp quantum logics (1994) Foundations of Physics, 24, pp. 1325-1346
  • Grätzer, G., (1998) General Lattice Theory, , Birkhäuser
  • Jenča, G., A representation Theorem for MV-algebras (2007) Soft Computing, 11, pp. 557-564
  • Jenča, G., Boolean algebras r-generated by MV-effect algebras (2004) Fuzzy Sets and System, 145, pp. 279-285
  • Kawada, Y., Über die Existenz der invarianten Intrgrale (1944) Japanese Journal of Mathematics, 19, pp. 81-95
  • Vetterlein, T., Boolean algebras with an automorphism group: a framework for Lukasiewicz logic (2008) Journal of Multiple-Valued Logic and Soft Computing, 14, pp. 51-67

Citas:

---------- APA ----------
(2012) . Normal and complete Boolean ambiguity algebras and MV-pairs. Logic Journal of the IGPL, 20(6), 1133-1152.
http://dx.doi.org/10.1093/jigpal/jzr052
---------- CHICAGO ----------
De La Vega, H. "Normal and complete Boolean ambiguity algebras and MV-pairs" . Logic Journal of the IGPL 20, no. 6 (2012) : 1133-1152.
http://dx.doi.org/10.1093/jigpal/jzr052
---------- MLA ----------
De La Vega, H. "Normal and complete Boolean ambiguity algebras and MV-pairs" . Logic Journal of the IGPL, vol. 20, no. 6, 2012, pp. 1133-1152.
http://dx.doi.org/10.1093/jigpal/jzr052
---------- VANCOUVER ----------
De La Vega, H. Normal and complete Boolean ambiguity algebras and MV-pairs. Logic J. IGPL. 2012;20(6):1133-1152.
http://dx.doi.org/10.1093/jigpal/jzr052