Prime and primary hyperideals in Krasner \((m,n)\)-hyperrings.
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.
scientific article; zbMATH DE number 6111988