Annihilator Hyperideals in Strong Bounded Dual Distributive Meet-hyperlattice
In this paper, we study the properties of annihilator hyperideals in the class of strong bounded dual distributive meet-hyperlattice. We show that the set of all closed hyperideals forms a Boolean algebra. We introduce the concept of homomorphism, which preserves the annihilator hyperideal. Suitable conditions for preserving annihilator hyperideals are obtained. Representation
and characterization theorems of annihilator hyperideals in sub-meet-hyperlattice and product meet-hyperlattice are proved.
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