Some hyperideals defined on the basis of the intersection of all n-ary prime hyperideals

2022/10/05 by Mahdi Anbarloei, Anbarloei, Mahdi
Decision Sciences · #Commutative Algebra (math.AC) #FOS: Mathematics #Fuzzy and Soft Set Theory

paper · pdf · doi:10.48550/arxiv.2210.02567

openalex publication_date 2022/10/05 · openalex created_date 2022/10/08 · openalex updated_date 2026/07/28

Abstract

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 of some hyperideals whose concept is created on the basis of the intersection of all n-ary prime hyperideals in category of Krasner (m,n)-hyperrings. In this regard we introduce notions of N-hyperideals, delta-N-hyperideals, (k,n)-absorbing delta-N-hyperideals and S-N-hyperideals. The overall framework of these structures in then explaind, providing a number of major conclusions.

Related

• Merging N-hyperideals and J-hyperideals in one frame
• Remarks on J-hyperideals and their expansion
• r-Hyperideals and Generalizations of r-Hyperideals in Krasner Hyperrings
• Extensions of n-ary prime hyperideals via an n-ary multiplicative subset in a Krasner (m,n)-hyperring
• A note on two classes of hyperideals