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Annihilator Hyperideals in Strong Bounded Dual Distributive Meet-hyperlattice
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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. Representationand characterization theorems of annihilator hyperideals in sub-meet-hyperlattice and product meet-hyperlattice are proved.
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Title: Annihilator Hyperideals in Strong Bounded Dual Distributive Meet-hyperlattice
Description:
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.
Representationand characterization theorems of annihilator hyperideals in sub-meet-hyperlattice and product meet-hyperlattice are proved.
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