Integral closures, Primary Hyperideals and Hypervaluation Hyperideals of Kranser Hyperrings
Commutative Algebra
2021-02-10 v1 Combinatorics
Abstract
In this paper, the notions of integral closure of hyperrings and hyperideals in a Krasner hyperring are defined and some basics properties of them are studied. We define also the notion of hypervaluation hyperideals and then a relations between hypervaluations, integral closure of hyperideals and primary hyperideals are studied. In fact it is shown that the integral closure of a hyperideal is determined by the hypervaluation Krasner hyperrings.
Cite
@article{arxiv.2102.04711,
title = {Integral closures, Primary Hyperideals and Hypervaluation Hyperideals of Kranser Hyperrings},
author = {M. J. Nikmehr and R. Nikandish and A. Yassine},
journal= {arXiv preprint arXiv:2102.04711},
year = {2021}
}