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/