Journal Article

·2023 OPEN ACCESS

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

P Xu , M. Bolat YTU , Elif Kaya YTU , Serkan Onar YTU , B A Ersoy YTU , Kostaq Hila

Proceedings of the Estonian Academy of Sciences

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.

Keywords

Mathematics Commutative property Pure mathematics

Subject Areas

Fuzzy and Soft Set Theory ·Management Science and Operations Research ·Social Sciences