Almost Noetherian rings and modules Article Swipe

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Xiaolei Zhang ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2509.05996

In this paper, we investigate the notions of almost Noetherian rings and modules. In details, we give the Cohen type theorem, Eakin-Nagata type theorem, Kaplansky type Theorem and Hilbert basis theorem and some other rings constructions for almost Noetherian rings. In particular, we resolve a question proposed in [8].

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2509.05996
PDF: https://arxiv.org/pdf/2509.05996
OA Status: green
OpenAlex ID: https://openalex.org/W4415056555

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OpenAlex ID: https://openalex.org/W4415056555

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DOI: https://doi.org/10.48550/arxiv.2509.05996

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Title: Almost Noetherian rings and modules

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Type: preprint

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Language: en

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Publication year: 2025

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Publication date: 2025-09-07

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Authors: Xiaolei Zhang

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Landing page: https://arxiv.org/abs/2509.05996

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PDF URL: https://arxiv.org/pdf/2509.05996

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Open access: Yes

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OA status: green

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OA URL: https://arxiv.org/pdf/2509.05996

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Cited by: 0

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