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Soft Intersection Almost Tri-bi-ideals of Semigroups     
Yazarlar (3)
Aslıhan Sezgin
Amasya Üniversitesi, Türkiye
Aleyna İlgin
Prof. Dr. Akın Osman ATAGÜN Prof. Dr. Akın Osman ATAGÜN
Kırşehir Ahi Evran Üniversitesi, Türkiye
Devamını Göster
Özet
In this study, we introduce the notion of soft intersection almost tri-bi-ideals of semi-groups as a generalization of nonnull soft intersection tri-bi-ideals and investigate its properties in depth. It is aimed to explore the relations of soft intersection almost tri-bi-ideals with other certain kinds of soft intersection almost ideals of semigroups. It is shown that an idempotent soft intersection almost tri-bi-ideal coincides with the soft intersection almost bi-ideal of a semigroup. It is also illustrated that every idempotent soft intersection almost tri-bi-ideal is a soft intersection almost subsemigroup. Furthermore, we propose the concepts of soft intersection prime, semiprime and strongly prime almost ideals of a semigroup and explore the relationships regarding minimality, primeness, semiprimeness, and strong primeness between almost tri-bi-ideals and soft intersection almost tri-bi-ideals by deriving a notable result that if a nonempty subset of a semigroup is an almost tri-bi-ideal, then its soft characteristic function is a soft intersection almost tri-bi-ideal, and vice versa. This enables us to construct a bridge between classical semigroup theory and soft set theory.
Anahtar Kelimeler
(almost) Tri-bi-ideals | Semigroup | Soft intersection (almost) tri-biideals | Soft set
Makale Türü Özgün Makale
Makale Alt Türü SCOPUS dergilerinde yayımlanan tam makale
Dergi Adı Science & Technology Asia
Dergi ISSN 2586-9027 Scopus Dergi
Dergi Tarandığı Indeksler Scopus
Makale Dili İngilizce
Basım Tarihi 12-2024
Cilt No 29
Sayı 4
Sayfalar 1 / 13
Makale Linki https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/253582/171574
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
SCOPUS 1

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