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, vol.72, no.1, pp.96-103, 2023 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 72 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.3176/proc.2023.1.09
  • Journal Name: PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES
  • Journal Indexes: 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
  • Page Numbers: pp.96-103
  • Yıldız Technical University Affiliated: Yes

Abstract

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.