Further results on(∈,∈)-neutrosophic subalgebras and ideals inBCK/BCI-algebras
Keywords:
(∈,∈)-neutrosophic subalgebra,(∈,∈)-neutrosophic idealAbstract
Characterizations of an(∈,∈)-neutrosophic ideal are considered. Any ideal in a BCK/BCI-algebra will be realized as level neutrosophic ideals of some(∈,∈)-neutrosophic ideal. The relation between(∈,∈)-neutrosophic ideal and(∈,∈)-neutrosophic subalgebra in aBCK-algebra is discussed. Conditions for an(∈,∈)-neutrosophic subalgebra to be a(∈,∈)-neutrosophic ideal are provided. Using a collection of ideals in a BCK/BCI-algebra, an(∈,∈)-neutrosophic ideal is established. Equivalence relations on the family of all(∈,∈)-neutrosophic ideals are introduced, and related properties are investigated
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