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

• Autorzy: Dana Piciu
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

pseudo-MV algebra; multiplier; pseudo-MV algebra of fractions; maximal pseudo-MV algebra of quotients; 06D35; 03G25

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2004
• Tom: 2
• Numer: 2
• Strony: 199-217

Daty

wydano

2004-04-01

online

2004-04-01

Twórcy

autor

Dana Piciu

• University of Craiova

Bibliografia

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• [5] D. Buşneag and D. Piciu: “MV-algebra of fractions and maximal MV-algebra of quotients”, to appear in Journal of Multiple-Valued Logic and Soft Computing.
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• [16] D. Piciu: Pseudo-MV algebra of fractions relative to an λ-closed system, Analele Universitâţii din Craiova, Seria Matematica-Informatica, Vol. XXX, 2003, pp. 7–13.
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Identyfikatory

DOI

10.2478/BF02476540