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A Krull―Schmidt Theorem for Artinian Modules over Local Rings

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Abstract

The paper contains a generalization of Fitting's lemma for Artinian modules of arbitrary length over some non-Noetherian local rings. A counterexample to a strong form of the Krull―Schmidt theorem for Artinian modules over a local ring is constructed. Bibliography: 4 titles.

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REFERENCES

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Authors and Affiliations

  1. St.Petersburg State University, Russia

    K. I. Pimenov

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  1. K. I. Pimenov
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Pimenov, K.I. A Krull―Schmidt Theorem for Artinian Modules over Local Rings. Journal of Mathematical Sciences 112, 4407–4409 (2002). https://doi.org/10.1023/A:1020363507415

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  • DOI: https://doi.org/10.1023/A:1020363507415

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