Journal Article

·2022 OPEN ACCESS

ϕ - δ -Primary Hyperideals in Krasner Hyperrings

Hao Guan , Elif Kaya YTU , Meli̇s Bolat YTU , Serkan Onar YTU , Bayram Alì Ersoy YTU , Kostaq Hila

Mathematical Problems in Engineering

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.

Keywords

Mathematics Algebra over a field Pure mathematics

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 Topics in Algebra ·Algebra and Number Theory ·Physical Sciences