The reticulation of residuated lattices[0.5em] induced by fuzzy prime spectrum

Abstract

Abstract:In this paper, we use the fuzzy prime spectrum to define the reticulation (L(A), λ) of a residuated lattice A. We obtain some related results. In particular, we show that the lattices of fuzzy filters of a residuated lattice A and L(A) are isomorphic and the fuzzy prime spectrum of A and L(A) are homomorphic topological space.