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 …

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 …

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) …

Prime hyperideals and primary hyperideals as two of the most important structures in a
Krasner (m, n)-hyperring are defferent from each other in many aspects. In this paper, we …

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 …

In this paper, we introduce new expansion classes, namely weakly (k,n)-absorbing
hyperideals and weakly (k,n)-absorbing primary hyperideals of a Krasner (m,n)-hyperring …

The purpose of this paper is to introducing a computational method to construction and
classification of finite hyperfields (in the sense of Krasner). In this regards first we introduce a …

The formation of rings of fractions and the associated process of localization are the most
important technical tools in commutative algebra. Krasner (m, n)-hyperrings are a …

Let I be a normal hyperideal of a Krasner (m, n)-hyperring R, we define the relation≡ I by
x≡ I y if and only if f (x,− y,(m− 2) 0)∩ I∅, which is an equivalence relation on R. By means …

Let R be a commutative Krasner (m, n)-hyperring with the scalar identity 1R. In this paper,
we introduce and study the concept of n-ary 2-absorbing and 2-absorbing primary …