NUMBER OF EPIMORPHISMS BETWEEN FINITE AXLED n-VALUED MOISIL ALGEBRAS

Monteiro, Luiz F.

doi:10.1515/dema-2007-0102

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Preliminaries and Necessary Properties1

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2017

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“…In [16] Luiz Monteiro determined the number of epimorphisms between finite Lukasiewicz algebras (see [3]). It is known that every finite W -algebra is a direct product of finite chains.…”

Section: Preliminaries and Necessary Propertiesmentioning

confidence: 99%

Epimorphisms between finite MV-algebras

Figallo¹,

Lattanzi²

2017

Math.Boh.

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MV-algebras were introduced by Chang to prove the completeness of the infinite-valued Lukasiewicz 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.

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“…In [16] Luiz Monteiro determined the number of epimorphisms between finite Lukasiewicz algebras (see [3]). It is known that every finite W -algebra is a direct product of finite chains.…”

Section: Preliminaries and Necessary Propertiesmentioning

confidence: 99%