δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperrings
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, vol.72, no.1, pp.96-103, 2023 (SCI-Expanded, Scopus)
- 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.