Abstract
The notions of neutrosophic N-subalgebras and neutrosophic N-ideals of Hilbert algebras are introduced, and several properties are investigated. Conditions for neutrosophic N-structures to be neutrosophic Nsubalgebras and neutrosophic N-ideals of Hilbert algebras are provided. The Cartesian product of neutrosophic N-structures is also supplied. Finally, we also find the property of the homomorphic pre-image of neutrosophic N-subalgebras and neutrosophic N-ideals.
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