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

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.

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