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arXiv · 2310.18032

On $S$-$n$-absorbing ideals

Hyungtae Baek·Hyun Seung Choi·Jung Wook Lim
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Abstract

Let $R$ be a commutative ring with identity, $S$ a multiplicative subset of $R$ and $I$ an ideal of $R$ disjoint from $S$. In this paper, we introduce the notion of an $S$-$n$-absorbing ideal which is a generalization of both the $S$-prime ideals and $n$-absorbing ideals. Moreover, we investigate the basic properties, quotient extension, existence and amalgamation of $S$-$n$-absorbing ideals.

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Hyungtae Baek, Hyun Seung Choi, Jung Wook Lim. 2023-10-27. On $S$-$n$-absorbing ideals. https://doi.org/10.1080/00927872.2025.2479132

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