Maximal Prime Ideals in Generalized Almost Distributive Fuzzy Lattices

Abstract

The Maximal Prime Ideals (MPIs) in Generalized Almost Distributive Fuzzy Lattices are presented in this article (GADFL). In GADFL, we have also deduced certain properties and characteristic theorems of MPIs. Further, we have also derived the following theorems: let I_f and J_f be two ideals of GADFL L(R_f,A_f). Then I_f∧J_f is a MPI belonging to both I_f and J_f and finally, every ideal of GADFL L(R_f,A_f) is the union of all MPIs containing it.