Relative annihilators in bounded commutative residuated lattices
Indian Journal of Pure and Applied Mathematics, Volume 54, No. 2, Year 2023
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In this work, we introduce the concept of relative annihilator of a subset of a bounded commutative residuated lattice L with respect to an ideal and investigate related properties. We show that the relative annihilator of an ideal J with respect to an ideal I is the pseudo-complement of J with respect to I within the lattice of all ideals of L. We also study essential ideals, involutory ideals with their properties, and give some characterizations of prime ideals.