MV-Algebra of Fractions and Maximal MV-Algebra of Quotients
Dumitru Busneag and Dana Piciu
The scope of this paper is to define the notions of MV-algebra of fractions and maximal MV-algebra of quotients for an MV-algebra (taking as a guide-line the elegant construction of complete ring of quotients by partial morphisms introduced by G. Findlay and J. Lambek – see , p. 36 ). For some informal explanations of notion of fraction see , p. 37.
In the last part of this paper is proved the existence of the maximal MV-algebra of quotients for an MV-algebra (Theorem 4.5) and we give explicit descriptions of this MV-algebra for some classes of MV-algebras.