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Information Journal Paper

Title

N-IDEALS OF ALMOST DISTRIBUTIVE LATTICES

Pages

  141-153

Keywords

Almost distributive lattice (ADL) 

Abstract

 In this article, we present the concept of an N −ideal within the structure of an Almost Distributive Lattice (ADL). We demonstrate that the collection of N −ideals constitutes a distributive lattice, which is distinct from and not a sublattice of the lattice of ideals in an ADL. Additionally, we define N −lets in ADLs. We derive the necessary and sufficient conditions for an ideal to be classified as an N −ideal using N −lets. Finally, we establish the conditions required for an ADL to achieve the property of being soft relatively complemented.

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