ϕ - δ -Primary Hyperideals in Krasner Hyperrings

Abstract

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