In this paper, we construct new [Formula: see text]-ary semihypergroups induced by subsets of the base sets of [Formula: see text]-ary semigroups. Then, we investigate some algebraic connections between the [Formula: see text]-ary semihypergroups and [Formula: see text]-ary semigroups via the concept of regularity on [Formula: see text]-ary semihypergroups. We also discover some significant conditions on [Formula: see text]-ary semihypergroups which can be reduced to semihypergroups.
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Nongmanee et al. (2024) studied this question.
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