Geodesic
Epimorphisms between finite MV-algebras
Mathematica Bohemica, Tome 142 (2017) no. 4, pp. 345-355.

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MV-algebras were introduced by Chang to prove the completeness of the infinite-valued Łukasiewicz propositional calculus. Recently, algebraic theory of MV-algebras has been intensively studied. Wajsberg algebras are just a reformulation of Chang MV-algebras where implication is used instead of disjunction. Using these equivalence, in this paper we provide conditions for the existence of an epimorphism between two finite MV-algebras $A$ and $B$. Specifically, we define the mv-functions with domain in the ordered set of prime elements of $B$ and with range in the ordered set of prime elements of $A$, and prove that every epimorphism from $A$ to $B$ can be uniquely constructed from an mv-function.
DOI : 10.21136/MB.2017.0077-14
Classification : 06D35, 08A35
Keywords: MV-algebras; mv-function; epimorphism 
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Figallo, Aldo V.; Lattanzi, Marina B. Epimorphisms between finite MV-algebras. Mathematica Bohemica, Tome 142 (2017) no. 4, pp. 345-355. doi : 10.21136/MB.2017.0077-14. http://geodesic.mathdoc.fr/articles/10.21136/MB.2017.0077-14/

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