Square-Difference Factor Absorbing Primary Hyperideals of Multiplicative Hyperrings
Mathematics, cilt.14, sa.15, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 15
- Basım Tarihi: 2026
- Doi Numarası: 10.3390/math14152784
- Dergi Adı: Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, zbMATH, Directory of Open Access Journals, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Anahtar Kelimeler: Cartesian product, hyperideal characterization, localization, multiplicative hyperring, primary hyperideal, sdf-absorbing hyperideal, sdf-absorbing primary hyperideal
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
We introduce and study square-difference factor absorbing primary hyperideals (sdf-absorbing primary hyperideals) in commutative multiplicative hyperrings. A proper hyperideal I is called sdf-absorbing primary if (Formula presented.) implies (Formula presented.) or (Formula presented.). This class provides a proper common generalization of both primary hyperideals and sdf-absorbing hyperideals. We establish a comprehensive characterization; investigate the behavior under homomorphisms, localization, intersections, ascending chains, and Cartesian products; and identify the precise conditions under which the three notions coincide.