A Study of the Localization of MTL-Algebras

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.