Abstract
This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r -hyperideals in commutative Krasner hyperrings. Some properties of p r -hyperideals are also studied. The relation between prime hyperideals and r -hyperideals is investigated. We show that the image and the inverse image of an r -hyperideal are also an r -hyperideal. We also introduce a generalization of r -hyperideals, and we prove some properties of them.
Keywords
Mathematics
Algebraic number
Generalization
Algebra over a field
Pure mathematics
Mathematical analysis
Subject Areas
Rings, Modules, and Algebras
·Algebra and Number Theory ·Physical Sciences
Fuzzy and Soft Set Theory
·Management Science and Operations Research ·Social Sciences
Advanced Algebra and Logic
·Computational Theory and Mathematics ·Physical Sciences
Citations by Year
2025: 1
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