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.
@article{urn:eudml:doc:39045,
title = {Unicidad de implicaci\'on de \'algebra-MV y negaci\'on de De Morgan.},
journal = {Mathware and Soft Computing},
volume = {2},
year = {1995},
pages = {229-245},
zbl = {0857.06009},
mrnumber = {MR1395433},
language = {es},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39045}
}
Martínez, Néstor G.; Priestley, Hilary A. Unicidad de implicación de álgebra-MV y negación de De Morgan.. Mathware and Soft Computing, Tome 2 (1995) pp. 229-245. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39045/