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Pseudo-MV algebra of fractions and maximal pseudo-MV algebra of quotients
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Abstract
The aim of this paper is to define the notions of pseudo-MV algebra of fractions and maximal pseudo-MV algebra of quotients for a pseudo-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 [14], p.36). For some informal explanations of the notion of fraction see [14], p. 37. In the last part of this paper the existence of the maximal pseudo-MV algebra of quotients for a pseudo-MV algebra (Theorem 4.5) is proven and I give explicit descriptions of this MV-algebra for some classes of pseudo MV-algebras.
Title: Pseudo-MV algebra of fractions and maximal pseudo-MV algebra of quotients
Description:
Abstract
The aim of this paper is to define the notions of pseudo-MV algebra of fractions and maximal pseudo-MV algebra of quotients for a pseudo-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 [14], p.
36).
For some informal explanations of the notion of fraction see [14], p.
37.
In the last part of this paper the existence of the maximal pseudo-MV algebra of quotients for a pseudo-MV algebra (Theorem 4.
5) is proven and I give explicit descriptions of this MV-algebra for some classes of pseudo MV-algebras.
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