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Characterization of Secondary Modules over Dedekind Domains

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Abstract

In this paper, we characterize the secondary modules and classify the indecomposable secondary modules over Dedekind domains. We also prove that every secondary module over a Dedekind domain is pure injective.

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Acknowledgements

The authors would like to thank the referee for his/her useful suggestions that improved the presentation of this paper.

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Authors and Affiliations

  1. Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

    Seyed Ali Mousavi & Reza Nekooei

Authors
  1. Seyed Ali Mousavi
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  2. Reza Nekooei
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Correspondence to Reza Nekooei.

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Mousavi, S.A., Nekooei, R. Characterization of Secondary Modules over Dedekind Domains. Iran J Sci Technol Trans Sci 43, 919–922 (2019). https://doi.org/10.1007/s40995-018-0555-3

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  • DOI: https://doi.org/10.1007/s40995-018-0555-3

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