Irreducible multiplicity of idealizations
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866914049906704384 |
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| author | An, Tran Nguyen |
| author_facet | An, Tran Nguyen |
| contents | 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}). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_04719 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Irreducible multiplicity of idealizations An, Tran Nguyen Commutative Algebra 13A15, 13H10, 13H15 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}). |
| title | Irreducible multiplicity of idealizations |
| topic | Commutative Algebra 13A15, 13H10, 13H15 |
| url | https://arxiv.org/abs/2311.04719 |