Uniqueness of MV-algebra implication and De Morgan negation
Néstor G. Martı́nez, Hilary A. Priestley · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · 1995
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.