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A STUDY ON BI-INTERIOR HYPERIDEALS IN HYPERSEMIGROUPS
- Tangtragoon, Jirayus;
- Jun, Young Bae;
- Lekkoksung, Nareupanat;
- Saengsura, Kittisak
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3초록
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.
키워드
Hypersemigroup; Regular hypersemigroup; Intra-regular hypersemigroup; Bi-interior hyperideal; QUASI-HYPERIDEALS; SEMIHYPERGROUPS; SEMIGROUPS; ELEMENTS; TERMS
- 제목
- A STUDY ON BI-INTERIOR HYPERIDEALS IN HYPERSEMIGROUPS
- 저자
- Tangtragoon, Jirayus; Jun, Young Bae; Lekkoksung, Nareupanat; Saengsura, Kittisak
- 발행일
- 2023-08
- 유형
- Article
- 권
- 19
- 호
- 4
- 페이지
- 991 ~ 1006