Uniqueness of MV-algebra implication and De Morgan negation.

Néstor G. Martínez; Hilary A. Priestley

Mathware and Soft Computing (1995)

  • Volume: 2, Issue: 3, page 229-245
  • ISSN: 1134-5632

Abstract

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It is shown that the implication of an MV-algebra is determined by de Morgan negation operations on a family of quotients of the given algebra; these quotients may be taken to be totally ordered. Certain existing results on the uniqueness of an MV-algebra implication are thereby elucidated and new criteria for uniqueness derived. These rely on a characterisation of chains on which a de Morgan negation is necessarily unique.

How to cite

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Martínez, Néstor G., and Priestley, Hilary A.. "Unicidad de implicación de álgebra-MV y negación de De Morgan.." Mathware and Soft Computing 2.3 (1995): 229-245. <http://eudml.org/doc/39045>.

@article{Martínez1995,
author = {Martínez, Néstor G., Priestley, Hilary A.},
journal = {Mathware and Soft Computing},
keywords = {Lógica multivaluada; Algebras de Wajsberg; Conjuntos difusos; Algebras de Boole; Lógica matemática; Lógica difusa; Priestley duality; de Morgan algebras; residuated semigroups; implication; MV-algebra; de Morgan negation},
language = {spa},
number = {3},
pages = {229-245},
title = {Unicidad de implicación de álgebra-MV y negación de De Morgan.},
url = {http://eudml.org/doc/39045},
volume = {2},
year = {1995},
}

TY - JOUR
AU - Martínez, Néstor G.
AU - Priestley, Hilary A.
TI - Unicidad de implicación de álgebra-MV y negación de De Morgan.
JO - Mathware and Soft Computing
PY - 1995
VL - 2
IS - 3
SP - 229
EP - 245
LA - spa
KW - Lógica multivaluada; Algebras de Wajsberg; Conjuntos difusos; Algebras de Boole; Lógica matemática; Lógica difusa; Priestley duality; de Morgan algebras; residuated semigroups; implication; MV-algebra; de Morgan negation
UR - http://eudml.org/doc/39045
ER -

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