11 papers
(u,v)-absorbing (prime) hyperideals in commutative multiplicative hyperrings
Mahdi Anbarloei
In this paper, we will introduce the notion of (u,v)-absorbing hyperideals in multiplicative hyperrings and we will show some properties of them. Then we extend this concept to the…
Merging N-hyperideals and J-hyperideals in one frame
Mahdi Anbarloei
The notions of N-hyperideals and J-hyperideals as two classes of hyperideals were recently defined in the context of Krasner (m,n)-hyperrings. These concepts are created on the bas…
(weakly) (s,n)-closed hyperideals
Mahdi Anbarloei
A multiplicative hyperring is a well-known type of algebraic hyperstructures which extend a ring to a structure in which the addition is an operation but multiplication is a hypero…
Some hyperideals defined on the basis of the intersection of all n-ary prime hyperideals
Mahdi Anbarloei
Various classes of hyperideals have been studied in many papers in order to let us fully understand the structures of hyperrings in general. The purpose of this paper is the study…
Krasner (m,n)-hyperring of fractions
M. Anbarloei
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 general…
Remarks on J-hyperideals and their expansion
M. Anbarloei
The aim of this research work is to define and characterize a new class of hyperideals in a Krasner (m,n)-hyperring that we call n-ary J-hyperideals. Also, we study the concept of…
J-prime hyperideals and their generalizations
M. Anbarloei
Let R be a multiplicative hyperring with identity. In this paper, we define the concept of J-prime hyperideals which is a generalization of n-hyperideals and we will show some prop…
A note on two classes of hyperideals
Mahdi Anbarloei
In this paper, we define the concepts of r-hyperideal and n-hyperideal of the multiplicative hyperring R which are two new classes of hyperideals. Several properties of them are pr…
2-Prime Hyperideals
Mahdi Anbarloei
Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R…
Alpha-prime hyperideals in a multiplicative hyperring
Mahdi Anbarloei
The notion of multiplicative hyperrings is an important class of the algebraic hyper-structures.
On 1-absorbing prime hyperideal and some of its generalizations
Mahdi Anbarloei
Let R be a multiplicative hyperring. In this paper, we define the concept of 1-absorbing prime hyperideals which is a generalization of the prime hyperideals. Several properties of…