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arXiv · 2311.04719

Irreducible multiplicity of idealizations

Tran Nguyen An
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Abstract

Let $(R,\mathfrak{m})$ be a Noetherian local ring and $M$ a finitely generated $R$-module. We study the relations of the index of reducibility and the irreducible multiplicity of an $\mathfrak{m}$-primary ideal of $R$ and these of $\mathfrak{m} \times M$-primary ideal of the idealization. This generalizes one of the main results of S.Goto et al. (see \cite[Theorem 2.2]{GKL}).

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Tran Nguyen An. 2023-11-08. Irreducible multiplicity of idealizations. https://arxiv.org/abs/2311.04719

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