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In this paper, the notions of interior bases of ordered semigroups are introduced, and some examples are also presented. We describe a characterization when a non-empty subset of an ordered semigroup is an interior base of an ordered semigroup. Finally, a characterization when an interior base of an ordered semigroup is a subsemigroup of an ordered semigroup will be given.
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Jantanan et al. (2024) studied this question.
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