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Pseudo-MV algebra of fractions and maximal pseudo-MV algebra of quotients

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Piciu D.

Open Mathematics

2004

tom 2

nr 2

199-217

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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1 Open Mathematics

1 Piciu D.

1 2004

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Pseudo-MV algebra of fractions and maximal pseudo-MV algebra of quotients