Fuzzy Prime Ideals of ADL's
Keywords:
Almost Distributive Lattice (ADL), complete lattice, L-fuzzy minimal prime ideal L-fuzzy prime ideal, prime L-fuzzy ideal, minimal prime L-fuzzy idealAbstract
In this paper the concept of prime L-fuzzy ideals and L-fuzzy prime ideals of an ADL A with truth values in a complete lattice L satisfying the infinite meet distributive law are introduced. All prime L-fuzzy ideals of a given ADL A are determined by establishing a one-to- one correspondence between prime L-fuzzy ideals of an ADL A and the pairs (P;a), where P is a prime ideal of A and a is a prime element in L. Also, here minimal prime L-fuzzy ideals and L-fuzzy minimal prime ideals of an ADL A are introduced and characterized.
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