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A Study of the Localization of MTL-Algebras

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  • Jeflea Antoneta

    () (“Spiru Haret”University of Constanta)

Abstract

In this paper we develop a theory of localization for MTL-algebras using the notion of multiplier. The concept of maximal lattice of quotients for a distributive lattice was defined by J.Schmidt taking as a guide – ine the construction of complete ring of quotients by partial morphisms introduced by G.Findlay and J.Lambeck. The central role in this construction is played by the concept of multiplier (defined for a distributive lattice by W.H. Cornish). J.Schmidt used the multipliers in order to give a non-standard construction of the maximal lattice of quotients for a distributive lattice.

Suggested Citation

  • Jeflea Antoneta, 2010. "A Study of the Localization of MTL-Algebras," Ovidius University Annals, Economic Sciences Series, Ovidius University of Constantza, Faculty of Economic Sciences, vol. 0(2), pages 416-419, October.
  • Handle: RePEc:ovi:oviste:v:10:y:2010:i:2:p:416-419
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    Keywords

    MTL-Algebras; multiplier; maximal lattice;

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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