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A STUDY ON BI-INTERIOR HYPERIDEALS IN HYPERSEMIGROUPS
- Issue Date
- Aug-2023
- Publisher
- Kyushu Tokai University
- Keywords
- Hypersemigroup; Regular hypersemigroup; Intra-regular hypersemigroup; Bi-interior hyperideal
- Citation
- International Journal of Innovative Computing, Information and Control, v.19, no.4, pp 991 - 1006
- Pages
- 16
- Indexed
- SCOPUS
ESCI
- Volume
- 19
- Number
- 4
- Start Page
- 991
- End Page
- 1006
- ISSN
- 1349-4198
- Abstract
- The concept of hypersemigroups is a generalization of semigroups with sev-eral real-world applications. The notions of hyperideals play an important role in studying hypersemigroups. This paper introduces the concept of bi-interior hyperideals, a combi-nation of bi-hyperideals and interior hyperideals in hypersemigroups. We examine that bi-interior hyperideals generalize other hyperideals, especially bi-hyperideals and interior hyperideals. The intersection and union of bi-interior hyperideals are discussed. Further-more, we provide the generating sets of bi-interior hyperideals. Finally, we apply the notion of bi-interior hyperideals to classifying regular and intra-regular hypersemigroups.
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