$L$-fuzzy prime ideals and maximal $L$-fuzzy ideals of a poset

Abstract

In this paper we introduce the notions of Lfuzzy prime ideals, prime and maximal L-fuzzy ideals of a poset. We also study and establish some characterizations of them and give sufficient conditions for the existence of prime L-fuzzy ideals in the lattice of all L-fuzzy ideals of a poset. 2010 AMS Classification: 06D72, 06A99