Abstract
The notion of an Almost Distributive Lattice (ADL) is a common abstraction of several lattice theoretic and ring theoretic generalizations of Boolean algebra and Boolean rings. In this paper, the set of all L -fuzzy prime ideals of an ADL with truth values in a complete lattice L satisfying the infinite meet distributive law is topologized and the resulting space is discussed.
Highlights
Swamy and Rao [2] have introduced the notion of an Almost Distributive Lattice (ADL) which is algebra (A, ∧, ∨, 0) of type (2, 2, 0) satisfying all the axioms of a distributive lattice with zero except ∧ commutative, ∨ commutative, and right distributivity of ∨ over ∧
Rosenfold [3] introduced the notion of fuzzy groups; many researchers are turned into fuzzifying various algebra
Santhi Sundar Raj et al [4,5,6] have introduced the concepts of fuzzy prime ideals of an ADL and studied them deeply
Summary
Swamy and Rao [2] have introduced the notion of an Almost Distributive Lattice (ADL) which is algebra (A, ∧ , ∨ , 0) of type (2, 2, 0) satisfying all the axioms of a distributive lattice with zero except ∧ commutative, ∨ commutative, and right distributivity of ∨ over ∧. Let I be a nonempty subset of an ADL A. en I is called an ideal of A if a, b ∈ I ⇒a ∨ b ∈ I and a ∧ x ∈ I for all x ∈ A. 3. Topological Space on L-Fuzzy Prime Ideals
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
