Prime and primary hyperideals in Krasner \((m,n)\)-hyperrings.
type: Item
instance of: scholarly article
title: Prime and primary hyperideals in Krasner \((m,n)\)-hyperrings.
zbMATH Open document ID: 1263.16051
published in: European Journal of Combinatorics
publication date: 2012-12-03T00:00:00Z
review text: The study of hyperrings was initiated by \textit{M. Krasner} [Int. J. Math. Math. Sci. 6, 307-311 (1983; Zbl 0516.16030)]. The notion of Krasner \((m,n)\)-hyperring was defined by \textit{S. Mirvakili} and \textit{B. Davvaz} [Eur. J. Comb. 31, No. 3, 790-802 (2010; Zbl 1194.16041)]. Now, in this paper, the authors study the quotient structure, and they study some important hyperideals such as Jacobson radical, prime and primary hyperideal and nilradical of Krasner \((m,n)\)-hyperrings.
reviewed by: Bijan Davvaz
Mathematics Subject Classification ID: 16Y99
Mathematics Subject Classification ID: 20N20
Mathematics Subject Classification ID: 20N15
Mathematics Subject Classification ID: 16D25
zbMATH DE Number: 6111988
zbMATH Keywords: Krasner hyperrings
zbMATH Keywords: Krasner \((m,n)\)-hyperrings
zbMATH Keywords: hyperideals
author: R. Ameri
author: Morteza Norouzi
MaRDI profile type: Publication
full work available at URL: j.ejc.2012.08.002
OpenAlex ID: W1966561504
DOI: 10.1016/J.EJC.2012.08.002
description: scientific article; zbMATH DE number 6111988