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Noetherian Rings of the Form \({\mathcal {A}}[X,Y;\lambda ]\)

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Abstract

In this paper, we use composite ring extensions to construct a new class of Noetherian rings. Composite ring extensions are examples of pullback constructions, and they are useful in constructing of (counter)-examples.

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Acknowledgements

The authors would like to thank the referee for his/her valuable comments which helps us in improving our manuscript.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Sciences of Monastir, Monastir, Tunisia

    Abdelamir Dabbabi & Ali Benhissi

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  1. Abdelamir Dabbabi
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  2. Ali Benhissi
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Correspondence to Abdelamir Dabbabi.

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Dabbabi, A., Benhissi, A. Noetherian Rings of the Form \({\mathcal {A}}[X,Y;\lambda ]\). Acta Math Vietnam 48, 523–531 (2023). https://doi.org/10.1007/s40306-023-00516-2

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  • DOI: https://doi.org/10.1007/s40306-023-00516-2

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