φ - δ -Primary Hyperideals in Krasner Hyperrings

Guan H., Kaya E., Bolat M., ONAR S., Ali Ersoy B., Hila K.

Mathematical Problems in Engineering, vol.2022, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 2022
  • Publication Date: 2022
  • Doi Number: 10.1155/2022/1192684
  • Journal Name: Mathematical Problems in Engineering
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Istanbul Gelisim University Affiliated: No

Abstract

In this paper, we study commutative Krasner hyperrings with nonzero identity. φ-prime, φ-primary and φ-δ-primary hyperideals are introduced. The concept of δ-primary hyperideals is extended to φ-δ-primary hyperideals. Some characterizations of hyperideals are provided to classify them. The relation between φ-δ-primary hyperideals and other hyperideals is discussed.