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

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

• r-hyperideal
• δ -r-hyperideal
• φ -δ -primary hyperideal
• φ -δ -r-hyperideal.