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arXiv · 2609.03743

Quasi S-n-ideals in commutative semirings

Amaresh Mahato·Saikat Das·Manasi Mandal·Sampad Das
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Abstract

Let $R$ be a commutative semiring with unity $(1\neq0)$, and let $S$ be a proper multiplicatively closed subset of $R$. In this paper, we introduce the notion of quasi $S$-$n$-ideals in commutative semirings. We the study basic property of quasi $S$-$n$-ideals and establish their relationships with quasi $n$-ideals, $S$-$n$-ideals, $S$-prime ideals, and $S$-primary ideals. We also investigate their behavior under localization. Finally, we determine quasi $S$-$n$-ideals in the quotient polynomial semiring $R[x]/\langle x^m\rangle$ and study their natural extensions via the constructions of idealization and amalgamation.

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Amaresh Mahato, Saikat Das, Manasi Mandal, Sampad Das. 2026-09-03. Quasi S-n-ideals in commutative semirings. https://arxiv.org/abs/2609.03743

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