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When every finitely projective ideal is projective

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An Erratum to this article was published on 28 February 2022

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Abstract

This paper studies the class of rings in which every finitely projective ideal is projective (FPP-ring for short). We examine the transfer of this property to various context of commutative ring extensions such as direct product, homomorphic image, trivial ring extension and amalgamation ring. Our work is motivated by an attempt to generate new original classes of rings possessing this property.

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Acknowledgements

The authors would like to express their sincere thanks to the referee for his/her helpful suggestions and comments.

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Authors and Affiliations

  1. Laboratory of Modeling and Mathematical structures, Department of Mathematics, Faculty of Science and Technology of Fez, University S.M. Ben Abdellah Fez, Box 2202, Fez, Morocco

    Najib Mahdou & Sanae Moussaoui

  2. Division of Science, Technology, and Mathematics, American University of Afghanistan, Kabul, Afghanistan

    Moutu Abdou Salam Moutui

Authors
  1. Najib Mahdou
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  2. Sanae Moussaoui
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  3. Moutu Abdou Salam Moutui
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Corresponding author

Correspondence to Moutu Abdou Salam Moutui.

Additional information

Communicated by Gadadhar Misra.

The original online version of this article was revised: Due to belated corrections in section 2, 3 and 4.

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Mahdou, N., Moussaoui, S. & Moutui, M.A.S. When every finitely projective ideal is projective. Indian J Pure Appl Math 53, 579–586 (2022). https://doi.org/10.1007/s13226-021-00148-y

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  • DOI: https://doi.org/10.1007/s13226-021-00148-y

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