M. Nikmehr

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20172021

1

-absorbing prime ideals of commutative rings

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math.AC2021★ 1 cited

On weakly $1$ -absorbing prime ideals of commutative rings

M. J. Nikmehr, R. Nikandish, A. Yassine

Let $R$ be a commutative ring with identity. In this paper, we introduce the concept of weakly $1$ -absorbing prime ideals which is a generalization of weakly prime ideals. A proper…

math.AC2021

Integral closures, Primary Hyperideals and Hypervaluation Hyperideals of Kranser Hyperrings

M. J. Nikmehr, R. Nikandish, A. Yassine

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 d…

On weakly 1-absorbing prime ideals of commutative rings

Integral closures, Primary Hyperideals and Hypervaluation Hyperideals of Kranser Hyperrings

On weakly $1$ -absorbing prime ideals of commutative rings