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Hull operators have always been studied for power sets.In this article, hull operators are generalized to the scope of posets.A construction theorem and a classification theorem are stated and proved.Particular cases of hull operators, such as closure operators, are also considered.Nontrivial examples are provided and analyzed.Moreover, an approach to hull operators in category theory is discussed.
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Francisco Javier García‐Pacheco (2024) studied this question.
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