Procesi and Rota introduced and studied in brief the prime hyperideals of multiplicative
hyperrings. Here we intend to investigate extensively the prime and primary hyperideals of …

Full article: On 2-absorbing and 2-absorbing primary hyperideals of a multiplicative hyperring
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In this paper, we study $\delta $-primary and 2-absorbing $\delta $-primary hyperideals
which are the extended classes of prime and 2-absorbing hyperideals, respectively. Assume …

In this article, we define 2-absorbing hyperideals of multiplicative hyperrings as a new
generalization of prime hyperideals. We study some properties of 2-absorbing hyperideals …

In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings
and we will show some properties of them. Then we introduce the notion of hyperring of …

In this paper, we study (general) commutative hyperrings as a generalization of classes of
hyperrings as well as rings. In this regards we introduce and study some basic notions of …

The purpose of this paper is to define the hyperideal expansion. Hyperideal expansion is
associated with prime hyperideals and primary hyperideals. Then, we define some of their …

A Krasner hyperring (for short, a hyperring) is a generalization of a ring such that the
addition is multivalued and the multiplication is as usual single valued and satisfies the …

We introduce and study the quotient structure and an n-ary hyperintegral domain of a
Krasner (m, n)-hyperring, proving some results regarding them. Also, we introduce some …

Krasner Hyperrings are an important class of algebraic hyperstructures which generalize
rings further to allow multiple output values for the addition operation. Krasner (m, n) …