Some properties of n-hyperideals in commutative hyperrings

Document Type : Original Article


1 Department of Mathematics, Yazd University, Yazd, Iran.

2 Department of Mathematics Yazd University, Yazd Iran

3 Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province 445000, China


In this paper, we reformulate several results in commutative algebra in terms of commutative hyperrings. We introduce n-hyperideals in commutative hyperrings and give its some basic properties. Based on new definitions and theorems, we obtain some results in the hyperring theory. Also, the paper is stated a characterization for fundamental n-hyperideals.