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arXiv · 2102.04711

Integral closures, Primary Hyperideals and Hypervaluation Hyperideals of Kranser Hyperrings

M. J. Nikmehr·R. Nikandish·A. Yassine
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Abstract

In this paper, the notions of integral closure of hyperrings and hyperideals in a Krasner hyperring $(R, +, \cdot)$ 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.

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M. J. Nikmehr, R. Nikandish, A. Yassine. 2021-02-09. Integral closures, Primary Hyperideals and Hypervaluation Hyperideals of Kranser Hyperrings. https://arxiv.org/abs/2102.04711

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