Relative annihilators in bounded commutative residuated lattices
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS(2022)
摘要
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.
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关键词
Bounded commutative residuated lattice,Ideal,Prime ideal,Relative annihilator,Essential ideal,Involutory ideal
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