The reticulation of residuated lattices induced by fuzzy prime spectrum

Abstract

In this paper, we use the fuzzy prime spectrum to de- ne the reticulation ( L(A); ) of a residuated lattice A. We obtain some related results. In particular, we show that the lattices of fuzzy lters of a residuated lattice A and L(A) are isomorphic and the fuzzy prime spectrum of A and L(A) are homomorphic topological space.