This paper introduces essential ideals and fuzzy ideals in n-ary semigroups, revealing their relationships.
An n-ary semigroup is an algebraic system that consists of a non-empty set and an associative n-ary operation. In this paper, we introduce the concepts of essential ideals and essential fuzzy ideals of n-ary semigroups. Furthermore, we investigate certain relationships between essential ideals and essential fuzzy almost ideals in n-ary semigroups.
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Singavananda et al. (2025) studied this question.
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