δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperrings

Xu P., Bolat M., Onar S., Kaya E., Ersoy B. A., Hila K.

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, cilt.72, sa.1, ss.96-103, 2023 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 72 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3176/proc.2023.1.09
  • Dergi Adı: PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Agricultural & Environmental Science Database, Aquatic Science & Fisheries Abstracts (ASFA), Biotechnology Research Abstracts, Central & Eastern European Academic Source (CEEAS), Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.96-103
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

This paper deals with an important class of multialgebras, called Krasner hyperrings. Our purpose is to define the expansion of r-hyperideals and to extend this concept to φ-δ-r-hyperideal in commutative Krasner hyperrings with nonzero identity. δ-r-hyperideals of commutative Krasner hyperrings are studied. Some properties of φ-δ-r-hyperideals are investigated and several examples are provided.