9 papers
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…
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…