| Yazarlar (3) |
Aslıhan Sezgin
Amasya Üniversitesi, Türkiye |
|
Aleyna İlgin
Amasya Üniversitesi, Türkiye |
Prof. Dr. Akın Osman ATAGÜN
Kırşehir Ahi Evran Üniversitesi, Türkiye |
| 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 yayınlanan 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 |
